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Finding the Fourth Proportional to 112.45, 155.20 and 107.32

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Solution

The fourth proportional to 112.45, 155.20 and 107.32 is: 148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.45 : 155.20 = 107.32 : x
  2. Step 2: Convert to fraction form
    112.45/155.20 = 107.32/x
  3. Step 3: Cross multiply
    112.45x = 155.20 × 107.32
  4. Step 4: Simplify right side
    112.45x = 16,655.08
  5. Step 5: Solve for x
    x = 16,655.08/112.45
  6. Step 6: Final answer
    x = 148.12

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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.