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Finding the Fourth Proportional to 99.54, 137.27 and 71.55

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Solution

The fourth proportional to 99.54, 137.27 and 71.55 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 137.27 = 71.55 : x
  2. Step 2: Convert to fraction form
    99.54/137.27 = 71.55/x
  3. Step 3: Cross multiply
    99.54x = 137.27 × 71.55
  4. Step 4: Simplify right side
    99.54x = 9,821.31
  5. Step 5: Solve for x
    x = 9,821.31/99.54
  6. Step 6: Final answer
    x = 98.67

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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.