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Finding the Fourth Proportional to 125.12, 186.45 and 117.02

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Solution

The fourth proportional to 125.12, 186.45 and 117.02 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.12 : 186.45 = 117.02 : x
  2. Step 2: Convert to fraction form
    125.12/186.45 = 117.02/x
  3. Step 3: Cross multiply
    125.12x = 186.45 × 117.02
  4. Step 4: Simplify right side
    125.12x = 21,818.38
  5. Step 5: Solve for x
    x = 21,818.38/125.12
  6. Step 6: Final answer
    x = 174.38

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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.