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Finding the Fourth Proportional to 59.71, 89.49 and 46.12

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Solution

The fourth proportional to 59.71, 89.49 and 46.12 is: 69.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.71 : 89.49 = 46.12 : x
  2. Step 2: Convert to fraction form
    59.71/89.49 = 46.12/x
  3. Step 3: Cross multiply
    59.71x = 89.49 × 46.12
  4. Step 4: Simplify right side
    59.71x = 4,127.28
  5. Step 5: Solve for x
    x = 4,127.28/59.71
  6. Step 6: Final answer
    x = 69.12

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Why These Related Problems?

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