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Finding the Fourth Proportional to 158.06, 237.36 and 97.58

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Solution

The fourth proportional to 158.06, 237.36 and 97.58 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.06 : 237.36 = 97.58 : x
  2. Step 2: Convert to fraction form
    158.06/237.36 = 97.58/x
  3. Step 3: Cross multiply
    158.06x = 237.36 × 97.58
  4. Step 4: Simplify right side
    158.06x = 23,161.59
  5. Step 5: Solve for x
    x = 23,161.59/158.06
  6. Step 6: Final answer
    x = 146.54

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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.