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Finding the Fourth Proportional to 59.42, 89.14 and 42.32

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Solution

The fourth proportional to 59.42, 89.14 and 42.32 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.42 : 89.14 = 42.32 : x
  2. Step 2: Convert to fraction form
    59.42/89.14 = 42.32/x
  3. Step 3: Cross multiply
    59.42x = 89.14 × 42.32
  4. Step 4: Simplify right side
    59.42x = 3,772.40
  5. Step 5: Solve for x
    x = 3,772.40/59.42
  6. Step 6: Final answer
    x = 63.49

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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.