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Finding the Fourth Proportional to 125.84, 187.72 and 106.70

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Solution

The fourth proportional to 125.84, 187.72 and 106.70 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 187.72 = 106.70 : x
  2. Step 2: Convert to fraction form
    125.84/187.72 = 106.70/x
  3. Step 3: Cross multiply
    125.84x = 187.72 × 106.70
  4. Step 4: Simplify right side
    125.84x = 20,029.72
  5. Step 5: Solve for x
    x = 20,029.72/125.84
  6. Step 6: Final answer
    x = 159.17

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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.