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Finding the Fourth Proportional to 115.52, 159.35 and 78.70

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Solution

The fourth proportional to 115.52, 159.35 and 78.70 is: 108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.52 : 159.35 = 78.70 : x
  2. Step 2: Convert to fraction form
    115.52/159.35 = 78.70/x
  3. Step 3: Cross multiply
    115.52x = 159.35 × 78.70
  4. Step 4: Simplify right side
    115.52x = 12,539.65
  5. Step 5: Solve for x
    x = 12,539.65/115.52
  6. Step 6: Final answer
    x = 108.55

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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.