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Finding the Fourth Proportional to 157.51, 217.30 and 102.28

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Solution

The fourth proportional to 157.51, 217.30 and 102.28 is: 141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.51 : 217.30 = 102.28 : x
  2. Step 2: Convert to fraction form
    157.51/217.30 = 102.28/x
  3. Step 3: Cross multiply
    157.51x = 217.30 × 102.28
  4. Step 4: Simplify right side
    157.51x = 22,225.44
  5. Step 5: Solve for x
    x = 22,225.44/157.51
  6. Step 6: Final answer
    x = 141.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.