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Finding the Fourth Proportional to 158.46, 218.70 and 96.30

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Solution

The fourth proportional to 158.46, 218.70 and 96.30 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.46 : 218.70 = 96.30 : x
  2. Step 2: Convert to fraction form
    158.46/218.70 = 96.30/x
  3. Step 3: Cross multiply
    158.46x = 218.70 × 96.30
  4. Step 4: Simplify right side
    158.46x = 21,060.81
  5. Step 5: Solve for x
    x = 21,060.81/158.46
  6. Step 6: Final answer
    x = 132.91

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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.