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Finding the Fourth Proportional to 118.86, 177.50 and 117.59

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Solution

The fourth proportional to 118.86, 177.50 and 117.59 is: 175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.86 : 177.50 = 117.59 : x
  2. Step 2: Convert to fraction form
    118.86/177.50 = 117.59/x
  3. Step 3: Cross multiply
    118.86x = 177.50 × 117.59
  4. Step 4: Simplify right side
    118.86x = 20,870.75
  5. Step 5: Solve for x
    x = 20,870.75/118.86
  6. Step 6: Final answer
    x = 175.59

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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.