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Finding the Fourth Proportional to 117.16, 175.41 and 78.55

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Solution

The fourth proportional to 117.16, 175.41 and 78.55 is: 117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 175.41 = 78.55 : x
  2. Step 2: Convert to fraction form
    117.16/175.41 = 78.55/x
  3. Step 3: Cross multiply
    117.16x = 175.41 × 78.55
  4. Step 4: Simplify right side
    117.16x = 13,778.02
  5. Step 5: Solve for x
    x = 13,778.02/117.16
  6. Step 6: Final answer
    x = 117.60

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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.