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Finding the Fourth Proportional to 48.76, 73.12 and 31.65

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Solution

The fourth proportional to 48.76, 73.12 and 31.65 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.76 : 73.12 = 31.65 : x
  2. Step 2: Convert to fraction form
    48.76/73.12 = 31.65/x
  3. Step 3: Cross multiply
    48.76x = 73.12 × 31.65
  4. Step 4: Simplify right side
    48.76x = 2,314.25
  5. Step 5: Solve for x
    x = 2,314.25/48.76
  6. Step 6: Final answer
    x = 47.46

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Why These Related Problems?

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