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Finding the Fourth Proportional to 99.68, 149.48 and 84.29

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Solution

The fourth proportional to 99.68, 149.48 and 84.29 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.68 : 149.48 = 84.29 : x
  2. Step 2: Convert to fraction form
    99.68/149.48 = 84.29/x
  3. Step 3: Cross multiply
    99.68x = 149.48 × 84.29
  4. Step 4: Simplify right side
    99.68x = 12,598.82
  5. Step 5: Solve for x
    x = 12,598.82/99.68
  6. Step 6: Final answer
    x = 126.40

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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.