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Finding the Fourth Proportional to 158.07, 237.10 and 97.21

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Solution

The fourth proportional to 158.07, 237.10 and 97.21 is: 145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.07 : 237.10 = 97.21 : x
  2. Step 2: Convert to fraction form
    158.07/237.10 = 97.21/x
  3. Step 3: Cross multiply
    158.07x = 237.10 × 97.21
  4. Step 4: Simplify right side
    158.07x = 23,048.00
  5. Step 5: Solve for x
    x = 23,048.00/158.07
  6. Step 6: Final answer
    x = 145.81

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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.