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Finding the Fourth Proportional to 42.14, 63.02 and 32.40

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Solution

The fourth proportional to 42.14, 63.02 and 32.40 is: 48.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 63.02 = 32.40 : x
  2. Step 2: Convert to fraction form
    42.14/63.02 = 32.40/x
  3. Step 3: Cross multiply
    42.14x = 63.02 × 32.40
  4. Step 4: Simplify right side
    42.14x = 2,041.85
  5. Step 5: Solve for x
    x = 2,041.85/42.14
  6. Step 6: Final answer
    x = 48.45

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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.