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Finding the Fourth Proportional to 115.85, 159.95 and 88.31

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Solution

The fourth proportional to 115.85, 159.95 and 88.31 is: 121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.85 : 159.95 = 88.31 : x
  2. Step 2: Convert to fraction form
    115.85/159.95 = 88.31/x
  3. Step 3: Cross multiply
    115.85x = 159.95 × 88.31
  4. Step 4: Simplify right side
    115.85x = 14,125.81
  5. Step 5: Solve for x
    x = 14,125.81/115.85
  6. Step 6: Final answer
    x = 121.93

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Why These Related Problems?

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