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Finding the Fourth Proportional to 99.80, 149.40 and 59.20

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Solution

The fourth proportional to 99.80, 149.40 and 59.20 is: 88.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.80 : 149.40 = 59.20 : x
  2. Step 2: Convert to fraction form
    99.80/149.40 = 59.20/x
  3. Step 3: Cross multiply
    99.80x = 149.40 × 59.20
  4. Step 4: Simplify right side
    99.80x = 8,844.48
  5. Step 5: Solve for x
    x = 8,844.48/99.80
  6. Step 6: Final answer
    x = 88.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.