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Finding the Fourth Proportional to 99.46, 149.22 and 76.60

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Solution

The fourth proportional to 99.46, 149.22 and 76.60 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.46 : 149.22 = 76.60 : x
  2. Step 2: Convert to fraction form
    99.46/149.22 = 76.60/x
  3. Step 3: Cross multiply
    99.46x = 149.22 × 76.60
  4. Step 4: Simplify right side
    99.46x = 11,430.25
  5. Step 5: Solve for x
    x = 11,430.25/99.46
  6. Step 6: Final answer
    x = 114.92

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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.