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Finding the Fourth Proportional to 99.47, 137.27 and 55.81

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Solution

The fourth proportional to 99.47, 137.27 and 55.81 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.47 : 137.27 = 55.81 : x
  2. Step 2: Convert to fraction form
    99.47/137.27 = 55.81/x
  3. Step 3: Cross multiply
    99.47x = 137.27 × 55.81
  4. Step 4: Simplify right side
    99.47x = 7,660.07
  5. Step 5: Solve for x
    x = 7,660.07/99.47
  6. Step 6: Final answer
    x = 77.01

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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.