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Finding the Fourth Proportional to 115.78, 159.84 and 72.19

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Solution

The fourth proportional to 115.78, 159.84 and 72.19 is: 99.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.78 : 159.84 = 72.19 : x
  2. Step 2: Convert to fraction form
    115.78/159.84 = 72.19/x
  3. Step 3: Cross multiply
    115.78x = 159.84 × 72.19
  4. Step 4: Simplify right side
    115.78x = 11,538.85
  5. Step 5: Solve for x
    x = 11,538.85/115.78
  6. Step 6: Final answer
    x = 99.66

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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.