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Finding the Fourth Proportional to 55.91, 77.19 and 48.98

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Solution

The fourth proportional to 55.91, 77.19 and 48.98 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.91 : 77.19 = 48.98 : x
  2. Step 2: Convert to fraction form
    55.91/77.19 = 48.98/x
  3. Step 3: Cross multiply
    55.91x = 77.19 × 48.98
  4. Step 4: Simplify right side
    55.91x = 3,780.38
  5. Step 5: Solve for x
    x = 3,780.38/55.91
  6. Step 6: Final answer
    x = 67.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.