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Finding the Fourth Proportional to 48.66, 72.87 and 25.76

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Solution

The fourth proportional to 48.66, 72.87 and 25.76 is: 38.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.66 : 72.87 = 25.76 : x
  2. Step 2: Convert to fraction form
    48.66/72.87 = 25.76/x
  3. Step 3: Cross multiply
    48.66x = 72.87 × 25.76
  4. Step 4: Simplify right side
    48.66x = 1,876.77
  5. Step 5: Solve for x
    x = 1,876.77/48.66
  6. Step 6: Final answer
    x = 38.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.