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Finding the Fourth Proportional to 99.76, 148.43 and 98.98

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Solution

The fourth proportional to 99.76, 148.43 and 98.98 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 148.43 = 98.98 : x
  2. Step 2: Convert to fraction form
    99.76/148.43 = 98.98/x
  3. Step 3: Cross multiply
    99.76x = 148.43 × 98.98
  4. Step 4: Simplify right side
    99.76x = 14,691.60
  5. Step 5: Solve for x
    x = 14,691.60/99.76
  6. Step 6: Final answer
    x = 147.27

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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.