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Finding the Fourth Proportional to 102.47, 141.41 and 58.82

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Solution

The fourth proportional to 102.47, 141.41 and 58.82 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 141.41 = 58.82 : x
  2. Step 2: Convert to fraction form
    102.47/141.41 = 58.82/x
  3. Step 3: Cross multiply
    102.47x = 141.41 × 58.82
  4. Step 4: Simplify right side
    102.47x = 8,317.18
  5. Step 5: Solve for x
    x = 8,317.18/102.47
  6. Step 6: Final answer
    x = 81.17

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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.