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Finding the Fourth Proportional to 115.53, 159.59 and 111.32

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Solution

The fourth proportional to 115.53, 159.59 and 111.32 is: 153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.53 : 159.59 = 111.32 : x
  2. Step 2: Convert to fraction form
    115.53/159.59 = 111.32/x
  3. Step 3: Cross multiply
    115.53x = 159.59 × 111.32
  4. Step 4: Simplify right side
    115.53x = 17,764.20
  5. Step 5: Solve for x
    x = 17,764.20/115.53
  6. Step 6: Final answer
    x = 153.76

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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.