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Finding the Fourth Proportional to 158.25, 237.41 and 60.75

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Solution

The fourth proportional to 158.25, 237.41 and 60.75 is: 91.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.25 : 237.41 = 60.75 : x
  2. Step 2: Convert to fraction form
    158.25/237.41 = 60.75/x
  3. Step 3: Cross multiply
    158.25x = 237.41 × 60.75
  4. Step 4: Simplify right side
    158.25x = 14,422.35
  5. Step 5: Solve for x
    x = 14,422.35/158.25
  6. Step 6: Final answer
    x = 91.14

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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.