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Finding the Fourth Proportional to 114.61, 158.11 and 65.48

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Solution

The fourth proportional to 114.61, 158.11 and 65.48 is: 90.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.61 : 158.11 = 65.48 : x
  2. Step 2: Convert to fraction form
    114.61/158.11 = 65.48/x
  3. Step 3: Cross multiply
    114.61x = 158.11 × 65.48
  4. Step 4: Simplify right side
    114.61x = 10,352.25
  5. Step 5: Solve for x
    x = 10,352.25/114.61
  6. Step 6: Final answer
    x = 90.33

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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.