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Finding the Fourth Proportional to 25.32, 38.16 and 24.02

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Solution

The fourth proportional to 25.32, 38.16 and 24.02 is: 36.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.32 : 38.16 = 24.02 : x
  2. Step 2: Convert to fraction form
    25.32/38.16 = 24.02/x
  3. Step 3: Cross multiply
    25.32x = 38.16 × 24.02
  4. Step 4: Simplify right side
    25.32x = 916.60
  5. Step 5: Solve for x
    x = 916.60/25.32
  6. Step 6: Final answer
    x = 36.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.