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Finding the Fourth Proportional to 125.26, 187.74 and 64.42

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Solution

The fourth proportional to 125.26, 187.74 and 64.42 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.26 : 187.74 = 64.42 : x
  2. Step 2: Convert to fraction form
    125.26/187.74 = 64.42/x
  3. Step 3: Cross multiply
    125.26x = 187.74 × 64.42
  4. Step 4: Simplify right side
    125.26x = 12,094.21
  5. Step 5: Solve for x
    x = 12,094.21/125.26
  6. Step 6: Final answer
    x = 96.55

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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.