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Finding the Fourth Proportional to 48.71, 72.69 and 46.77

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Solution

The fourth proportional to 48.71, 72.69 and 46.77 is: 69.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.71 : 72.69 = 46.77 : x
  2. Step 2: Convert to fraction form
    48.71/72.69 = 46.77/x
  3. Step 3: Cross multiply
    48.71x = 72.69 × 46.77
  4. Step 4: Simplify right side
    48.71x = 3,399.71
  5. Step 5: Solve for x
    x = 3,399.71/48.71
  6. Step 6: Final answer
    x = 69.80

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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.