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Finding the Fourth Proportional to 109.30, 151.02 and 99.46

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Solution

The fourth proportional to 109.30, 151.02 and 99.46 is: 137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 151.02 = 99.46 : x
  2. Step 2: Convert to fraction form
    109.30/151.02 = 99.46/x
  3. Step 3: Cross multiply
    109.30x = 151.02 × 99.46
  4. Step 4: Simplify right side
    109.30x = 15,020.45
  5. Step 5: Solve for x
    x = 15,020.45/109.30
  6. Step 6: Final answer
    x = 137.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.