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Finding the Fourth Proportional to 117.16, 175.58 and 52.08

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Solution

The fourth proportional to 117.16, 175.58 and 52.08 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 175.58 = 52.08 : x
  2. Step 2: Convert to fraction form
    117.16/175.58 = 52.08/x
  3. Step 3: Cross multiply
    117.16x = 175.58 × 52.08
  4. Step 4: Simplify right side
    117.16x = 9,144.21
  5. Step 5: Solve for x
    x = 9,144.21/117.16
  6. Step 6: Final answer
    x = 78.05

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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.