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Finding the Fourth Proportional to 115.80, 159.85 and 89.83

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Solution

The fourth proportional to 115.80, 159.85 and 89.83 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 159.85 = 89.83 : x
  2. Step 2: Convert to fraction form
    115.80/159.85 = 89.83/x
  3. Step 3: Cross multiply
    115.80x = 159.85 × 89.83
  4. Step 4: Simplify right side
    115.80x = 14,359.33
  5. Step 5: Solve for x
    x = 14,359.33/115.80
  6. Step 6: Final answer
    x = 124.00

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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.