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Finding the Fourth Proportional to 114.83, 158.46 and 65.04

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Solution

The fourth proportional to 114.83, 158.46 and 65.04 is: 89.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 158.46 = 65.04 : x
  2. Step 2: Convert to fraction form
    114.83/158.46 = 65.04/x
  3. Step 3: Cross multiply
    114.83x = 158.46 × 65.04
  4. Step 4: Simplify right side
    114.83x = 10,306.24
  5. Step 5: Solve for x
    x = 10,306.24/114.83
  6. Step 6: Final answer
    x = 89.75

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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.