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Finding the Fourth Proportional to 103.56, 142.52 and 85.07

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Solution

The fourth proportional to 103.56, 142.52 and 85.07 is: 117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 142.52 = 85.07 : x
  2. Step 2: Convert to fraction form
    103.56/142.52 = 85.07/x
  3. Step 3: Cross multiply
    103.56x = 142.52 × 85.07
  4. Step 4: Simplify right side
    103.56x = 12,123.04
  5. Step 5: Solve for x
    x = 12,123.04/103.56
  6. Step 6: Final answer
    x = 117.06

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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.