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Finding the Fourth Proportional to 158.05, 237.07 and 97.07

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Solution

The fourth proportional to 158.05, 237.07 and 97.07 is: 145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.05 : 237.07 = 97.07 : x
  2. Step 2: Convert to fraction form
    158.05/237.07 = 97.07/x
  3. Step 3: Cross multiply
    158.05x = 237.07 × 97.07
  4. Step 4: Simplify right side
    158.05x = 23,012.21
  5. Step 5: Solve for x
    x = 23,012.21/158.05
  6. Step 6: Final answer
    x = 145.60

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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.