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Finding the Fourth Proportional to 157.07, 235.10 and 102.26

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Solution

The fourth proportional to 157.07, 235.10 and 102.26 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.07 : 235.10 = 102.26 : x
  2. Step 2: Convert to fraction form
    157.07/235.10 = 102.26/x
  3. Step 3: Cross multiply
    157.07x = 235.10 × 102.26
  4. Step 4: Simplify right side
    157.07x = 24,042.17
  5. Step 5: Solve for x
    x = 24,042.17/157.07
  6. Step 6: Final answer
    x = 153.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.