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Finding the Fourth Proportional to 112.59, 168.18 and 78.06

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Solution

The fourth proportional to 112.59, 168.18 and 78.06 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.59 : 168.18 = 78.06 : x
  2. Step 2: Convert to fraction form
    112.59/168.18 = 78.06/x
  3. Step 3: Cross multiply
    112.59x = 168.18 × 78.06
  4. Step 4: Simplify right side
    112.59x = 13,128.13
  5. Step 5: Solve for x
    x = 13,128.13/112.59
  6. Step 6: Final answer
    x = 116.60

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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.