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Finding the Fourth Proportional to 42.65, 63.91 and 32.47

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Solution

The fourth proportional to 42.65, 63.91 and 32.47 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 63.91 = 32.47 : x
  2. Step 2: Convert to fraction form
    42.65/63.91 = 32.47/x
  3. Step 3: Cross multiply
    42.65x = 63.91 × 32.47
  4. Step 4: Simplify right side
    42.65x = 2,075.16
  5. Step 5: Solve for x
    x = 2,075.16/42.65
  6. Step 6: Final answer
    x = 48.66

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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.