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Finding the Fourth Proportional to 115.64, 159.53 and 89.42

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Solution

The fourth proportional to 115.64, 159.53 and 89.42 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 159.53 = 89.42 : x
  2. Step 2: Convert to fraction form
    115.64/159.53 = 89.42/x
  3. Step 3: Cross multiply
    115.64x = 159.53 × 89.42
  4. Step 4: Simplify right side
    115.64x = 14,263.93
  5. Step 5: Solve for x
    x = 14,263.93/115.64
  6. Step 6: Final answer
    x = 123.35

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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.