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Finding the Fourth Proportional to 59.89, 89.52 and 42.66

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Solution

The fourth proportional to 59.89, 89.52 and 42.66 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.89 : 89.52 = 42.66 : x
  2. Step 2: Convert to fraction form
    59.89/89.52 = 42.66/x
  3. Step 3: Cross multiply
    59.89x = 89.52 × 42.66
  4. Step 4: Simplify right side
    59.89x = 3,818.92
  5. Step 5: Solve for x
    x = 3,818.92/59.89
  6. Step 6: Final answer
    x = 63.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.