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Finding the Fourth Proportional to 25.61, 38.16 and 24.86

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Solution

The fourth proportional to 25.61, 38.16 and 24.86 is: 37.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.61 : 38.16 = 24.86 : x
  2. Step 2: Convert to fraction form
    25.61/38.16 = 24.86/x
  3. Step 3: Cross multiply
    25.61x = 38.16 × 24.86
  4. Step 4: Simplify right side
    25.61x = 948.47
  5. Step 5: Solve for x
    x = 948.47/25.61
  6. Step 6: Final answer
    x = 37.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.