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Finding the Fourth Proportional to 42.53, 58.65 and 32.14

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Solution

The fourth proportional to 42.53, 58.65 and 32.14 is: 44.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.53 : 58.65 = 32.14 : x
  2. Step 2: Convert to fraction form
    42.53/58.65 = 32.14/x
  3. Step 3: Cross multiply
    42.53x = 58.65 × 32.14
  4. Step 4: Simplify right side
    42.53x = 1,885.01
  5. Step 5: Solve for x
    x = 1,885.01/42.53
  6. Step 6: Final answer
    x = 44.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.