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Finding the Fourth Proportional to 125.36, 186.69 and 117.86

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Solution

The fourth proportional to 125.36, 186.69 and 117.86 is: 175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.36 : 186.69 = 117.86 : x
  2. Step 2: Convert to fraction form
    125.36/186.69 = 117.86/x
  3. Step 3: Cross multiply
    125.36x = 186.69 × 117.86
  4. Step 4: Simplify right side
    125.36x = 22,002.35
  5. Step 5: Solve for x
    x = 22,002.35/125.36
  6. Step 6: Final answer
    x = 175.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.