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Finding the Fourth Proportional to 125.06, 186.75 and 97.70

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Solution

The fourth proportional to 125.06, 186.75 and 97.70 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.06 : 186.75 = 97.70 : x
  2. Step 2: Convert to fraction form
    125.06/186.75 = 97.70/x
  3. Step 3: Cross multiply
    125.06x = 186.75 × 97.70
  4. Step 4: Simplify right side
    125.06x = 18,244.54
  5. Step 5: Solve for x
    x = 18,244.54/125.06
  6. Step 6: Final answer
    x = 145.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.