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Finding the Fourth Proportional to 157.98, 236.58 and 97.05

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Solution

The fourth proportional to 157.98, 236.58 and 97.05 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 236.58 = 97.05 : x
  2. Step 2: Convert to fraction form
    157.98/236.58 = 97.05/x
  3. Step 3: Cross multiply
    157.98x = 236.58 × 97.05
  4. Step 4: Simplify right side
    157.98x = 22,960.09
  5. Step 5: Solve for x
    x = 22,960.09/157.98
  6. Step 6: Final answer
    x = 145.34

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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.