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Finding the Fourth Proportional to 32.74, 48.96 and 24.16

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Solution

The fourth proportional to 32.74, 48.96 and 24.16 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.74 : 48.96 = 24.16 : x
  2. Step 2: Convert to fraction form
    32.74/48.96 = 24.16/x
  3. Step 3: Cross multiply
    32.74x = 48.96 × 24.16
  4. Step 4: Simplify right side
    32.74x = 1,182.87
  5. Step 5: Solve for x
    x = 1,182.87/32.74
  6. Step 6: Final answer
    x = 36.13

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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.