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Finding the Fourth Proportional to 62.76, 94.13 and 32.34

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Solution

The fourth proportional to 62.76, 94.13 and 32.34 is: 48.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.76 : 94.13 = 32.34 : x
  2. Step 2: Convert to fraction form
    62.76/94.13 = 32.34/x
  3. Step 3: Cross multiply
    62.76x = 94.13 × 32.34
  4. Step 4: Simplify right side
    62.76x = 3,044.16
  5. Step 5: Solve for x
    x = 3,044.16/62.76
  6. Step 6: Final answer
    x = 48.50

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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.