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Finding the Fourth Proportional to 99.20, 147.94 and 97.28

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Solution

The fourth proportional to 99.20, 147.94 and 97.28 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 147.94 = 97.28 : x
  2. Step 2: Convert to fraction form
    99.20/147.94 = 97.28/x
  3. Step 3: Cross multiply
    99.20x = 147.94 × 97.28
  4. Step 4: Simplify right side
    99.20x = 14,391.60
  5. Step 5: Solve for x
    x = 14,391.60/99.20
  6. Step 6: Final answer
    x = 145.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.