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Finding the Fourth Proportional to 103.31, 142.57 and 59.64

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Solution

The fourth proportional to 103.31, 142.57 and 59.64 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.31 : 142.57 = 59.64 : x
  2. Step 2: Convert to fraction form
    103.31/142.57 = 59.64/x
  3. Step 3: Cross multiply
    103.31x = 142.57 × 59.64
  4. Step 4: Simplify right side
    103.31x = 8,502.58
  5. Step 5: Solve for x
    x = 8,502.58/103.31
  6. Step 6: Final answer
    x = 82.31

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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.