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Finding the Fourth Proportional to 115.60, 159.52 and 65.81

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Solution

The fourth proportional to 115.60, 159.52 and 65.81 is: 90.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.60 : 159.52 = 65.81 : x
  2. Step 2: Convert to fraction form
    115.60/159.52 = 65.81/x
  3. Step 3: Cross multiply
    115.60x = 159.52 × 65.81
  4. Step 4: Simplify right side
    115.60x = 10,498.01
  5. Step 5: Solve for x
    x = 10,498.01/115.60
  6. Step 6: Final answer
    x = 90.81

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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.