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Finding the Fourth Proportional to 112.80, 155.64 and 78.32

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Solution

The fourth proportional to 112.80, 155.64 and 78.32 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 155.64 = 78.32 : x
  2. Step 2: Convert to fraction form
    112.80/155.64 = 78.32/x
  3. Step 3: Cross multiply
    112.80x = 155.64 × 78.32
  4. Step 4: Simplify right side
    112.80x = 12,189.72
  5. Step 5: Solve for x
    x = 12,189.72/112.80
  6. Step 6: Final answer
    x = 108.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.