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Finding the Fourth Proportional to 47.20, 64.92 and 42.34

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Solution

The fourth proportional to 47.20, 64.92 and 42.34 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 64.92 = 42.34 : x
  2. Step 2: Convert to fraction form
    47.20/64.92 = 42.34/x
  3. Step 3: Cross multiply
    47.20x = 64.92 × 42.34
  4. Step 4: Simplify right side
    47.20x = 2,748.71
  5. Step 5: Solve for x
    x = 2,748.71/47.20
  6. Step 6: Final answer
    x = 58.24

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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.