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Finding the Fourth Proportional to 72.15, 99.71 and 69.78

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Solution

The fourth proportional to 72.15, 99.71 and 69.78 is: 96.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.15 : 99.71 = 69.78 : x
  2. Step 2: Convert to fraction form
    72.15/99.71 = 69.78/x
  3. Step 3: Cross multiply
    72.15x = 99.71 × 69.78
  4. Step 4: Simplify right side
    72.15x = 6,957.41
  5. Step 5: Solve for x
    x = 6,957.41/72.15
  6. Step 6: Final answer
    x = 96.43

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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.