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Finding the Fourth Proportional to 125.65, 188.48 and 57.23

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Solution

The fourth proportional to 125.65, 188.48 and 57.23 is: 85.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.65 : 188.48 = 57.23 : x
  2. Step 2: Convert to fraction form
    125.65/188.48 = 57.23/x
  3. Step 3: Cross multiply
    125.65x = 188.48 × 57.23
  4. Step 4: Simplify right side
    125.65x = 10,785.91
  5. Step 5: Solve for x
    x = 10,785.91/125.65
  6. Step 6: Final answer
    x = 85.84

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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.