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Finding the Fourth Proportional to 48.74, 72.77 and 39.69

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Solution

The fourth proportional to 48.74, 72.77 and 39.69 is: 59.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.74 : 72.77 = 39.69 : x
  2. Step 2: Convert to fraction form
    48.74/72.77 = 39.69/x
  3. Step 3: Cross multiply
    48.74x = 72.77 × 39.69
  4. Step 4: Simplify right side
    48.74x = 2,888.04
  5. Step 5: Solve for x
    x = 2,888.04/48.74
  6. Step 6: Final answer
    x = 59.26

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Why These Related Problems?

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