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Finding the Fourth Proportional to 115.22, 158.98 and 65.42

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Solution

The fourth proportional to 115.22, 158.98 and 65.42 is: 90.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.22 : 158.98 = 65.42 : x
  2. Step 2: Convert to fraction form
    115.22/158.98 = 65.42/x
  3. Step 3: Cross multiply
    115.22x = 158.98 × 65.42
  4. Step 4: Simplify right side
    115.22x = 10,399.87
  5. Step 5: Solve for x
    x = 10,399.87/115.22
  6. Step 6: Final answer
    x = 90.26

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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.