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Finding the Fourth Proportional to 112.90, 169.32 and 52.05

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Solution

The fourth proportional to 112.90, 169.32 and 52.05 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 169.32 = 52.05 : x
  2. Step 2: Convert to fraction form
    112.90/169.32 = 52.05/x
  3. Step 3: Cross multiply
    112.90x = 169.32 × 52.05
  4. Step 4: Simplify right side
    112.90x = 8,813.11
  5. Step 5: Solve for x
    x = 8,813.11/112.90
  6. Step 6: Final answer
    x = 78.06

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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.