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Finding the Fourth Proportional to 125.40, 181.65 and 125.40

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Solution

The fourth proportional to 125.40, 181.65 and 125.40 is: 181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.40 : 181.65 = 125.40 : x
  2. Step 2: Convert to fraction form
    125.40/181.65 = 125.40/x
  3. Step 3: Cross multiply
    125.40x = 181.65 × 125.40
  4. Step 4: Simplify right side
    125.40x = 22,778.91
  5. Step 5: Solve for x
    x = 22,778.91/125.40
  6. Step 6: Final answer
    x = 181.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.