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Finding the Fourth Proportional to 102.48, 141.57 and 81.91

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Solution

The fourth proportional to 102.48, 141.57 and 81.91 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 141.57 = 81.91 : x
  2. Step 2: Convert to fraction form
    102.48/141.57 = 81.91/x
  3. Step 3: Cross multiply
    102.48x = 141.57 × 81.91
  4. Step 4: Simplify right side
    102.48x = 11,595.07
  5. Step 5: Solve for x
    x = 11,595.07/102.48
  6. Step 6: Final answer
    x = 113.14

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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.