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Finding the Fourth Proportional to 114.46, 158.03 and 92.58

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Solution

The fourth proportional to 114.46, 158.03 and 92.58 is: 127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.46 : 158.03 = 92.58 : x
  2. Step 2: Convert to fraction form
    114.46/158.03 = 92.58/x
  3. Step 3: Cross multiply
    114.46x = 158.03 × 92.58
  4. Step 4: Simplify right side
    114.46x = 14,630.42
  5. Step 5: Solve for x
    x = 14,630.42/114.46
  6. Step 6: Final answer
    x = 127.82

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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.