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Finding the Fourth Proportional to 115.65, 158.52 and 111.55

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Solution

The fourth proportional to 115.65, 158.52 and 111.55 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 158.52 = 111.55 : x
  2. Step 2: Convert to fraction form
    115.65/158.52 = 111.55/x
  3. Step 3: Cross multiply
    115.65x = 158.52 × 111.55
  4. Step 4: Simplify right side
    115.65x = 17,682.91
  5. Step 5: Solve for x
    x = 17,682.91/115.65
  6. Step 6: Final answer
    x = 152.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.