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Finding the Fourth Proportional to 125.62, 188.26 and 64.70

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Solution

The fourth proportional to 125.62, 188.26 and 64.70 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.62 : 188.26 = 64.70 : x
  2. Step 2: Convert to fraction form
    125.62/188.26 = 64.70/x
  3. Step 3: Cross multiply
    125.62x = 188.26 × 64.70
  4. Step 4: Simplify right side
    125.62x = 12,180.02
  5. Step 5: Solve for x
    x = 12,180.02/125.62
  6. Step 6: Final answer
    x = 96.96

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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.