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Finding the Fourth Proportional to 32.14, 48.25 and 24.04

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Solution

The fourth proportional to 32.14, 48.25 and 24.04 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.14 : 48.25 = 24.04 : x
  2. Step 2: Convert to fraction form
    32.14/48.25 = 24.04/x
  3. Step 3: Cross multiply
    32.14x = 48.25 × 24.04
  4. Step 4: Simplify right side
    32.14x = 1,159.57
  5. Step 5: Solve for x
    x = 1,159.57/32.14
  6. Step 6: Final answer
    x = 36.08

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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.