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Finding the Fourth Proportional to 115.50, 158.91 and 111.06

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Solution

The fourth proportional to 115.50, 158.91 and 111.06 is: 152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.50 : 158.91 = 111.06 : x
  2. Step 2: Convert to fraction form
    115.50/158.91 = 111.06/x
  3. Step 3: Cross multiply
    115.50x = 158.91 × 111.06
  4. Step 4: Simplify right side
    115.50x = 17,648.54
  5. Step 5: Solve for x
    x = 17,648.54/115.50
  6. Step 6: Final answer
    x = 152.80

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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.