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Finding the Fourth Proportional to 100.46, 150.72 and 77.60

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Solution

The fourth proportional to 100.46, 150.72 and 77.60 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.72 = 77.60 : x
  2. Step 2: Convert to fraction form
    100.46/150.72 = 77.60/x
  3. Step 3: Cross multiply
    100.46x = 150.72 × 77.60
  4. Step 4: Simplify right side
    100.46x = 11,695.87
  5. Step 5: Solve for x
    x = 11,695.87/100.46
  6. Step 6: Final answer
    x = 116.42

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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.