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Finding the Fourth Proportional to 158.24, 237.47 and 66.98

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Solution

The fourth proportional to 158.24, 237.47 and 66.98 is: 100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 237.47 = 66.98 : x
  2. Step 2: Convert to fraction form
    158.24/237.47 = 66.98/x
  3. Step 3: Cross multiply
    158.24x = 237.47 × 66.98
  4. Step 4: Simplify right side
    158.24x = 15,906.00
  5. Step 5: Solve for x
    x = 15,906.00/158.24
  6. Step 6: Final answer
    x = 100.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.