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Finding the Fourth Proportional to 117.38, 175.95 and 52.40

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Solution

The fourth proportional to 117.38, 175.95 and 52.40 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.38 : 175.95 = 52.40 : x
  2. Step 2: Convert to fraction form
    117.38/175.95 = 52.40/x
  3. Step 3: Cross multiply
    117.38x = 175.95 × 52.40
  4. Step 4: Simplify right side
    117.38x = 9,218.90
  5. Step 5: Solve for x
    x = 9,218.90/117.38
  6. Step 6: Final answer
    x = 78.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.