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Finding the Fourth Proportional to 87.18, 130.66 and 46.58

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Solution

The fourth proportional to 87.18, 130.66 and 46.58 is: 69.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.18 : 130.66 = 46.58 : x
  2. Step 2: Convert to fraction form
    87.18/130.66 = 46.58/x
  3. Step 3: Cross multiply
    87.18x = 130.66 × 46.58
  4. Step 4: Simplify right side
    87.18x = 6,086.14
  5. Step 5: Solve for x
    x = 6,086.14/87.18
  6. Step 6: Final answer
    x = 69.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.