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Finding the Fourth Proportional to 48.16, 71.78 and 47.78

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Solution

The fourth proportional to 48.16, 71.78 and 47.78 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.16 : 71.78 = 47.78 : x
  2. Step 2: Convert to fraction form
    48.16/71.78 = 47.78/x
  3. Step 3: Cross multiply
    48.16x = 71.78 × 47.78
  4. Step 4: Simplify right side
    48.16x = 3,429.65
  5. Step 5: Solve for x
    x = 3,429.65/48.16
  6. Step 6: Final answer
    x = 71.21

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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.