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Finding the Fourth Proportional to 32.17, 48.24 and 23.14

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Solution

The fourth proportional to 32.17, 48.24 and 23.14 is: 34.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.17 : 48.24 = 23.14 : x
  2. Step 2: Convert to fraction form
    32.17/48.24 = 23.14/x
  3. Step 3: Cross multiply
    32.17x = 48.24 × 23.14
  4. Step 4: Simplify right side
    32.17x = 1,116.27
  5. Step 5: Solve for x
    x = 1,116.27/32.17
  6. Step 6: Final answer
    x = 34.70

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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.