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Finding the Fourth Proportional to 59.65, 89.43 and 42.52

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Solution

The fourth proportional to 59.65, 89.43 and 42.52 is: 63.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 89.43 = 42.52 : x
  2. Step 2: Convert to fraction form
    59.65/89.43 = 42.52/x
  3. Step 3: Cross multiply
    59.65x = 89.43 × 42.52
  4. Step 4: Simplify right side
    59.65x = 3,802.56
  5. Step 5: Solve for x
    x = 3,802.56/59.65
  6. Step 6: Final answer
    x = 63.75

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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.