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Finding the Fourth Proportional to 104.76, 144.32 and 85.32

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Solution

The fourth proportional to 104.76, 144.32 and 85.32 is: 117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.76 : 144.32 = 85.32 : x
  2. Step 2: Convert to fraction form
    104.76/144.32 = 85.32/x
  3. Step 3: Cross multiply
    104.76x = 144.32 × 85.32
  4. Step 4: Simplify right side
    104.76x = 12,312.96
  5. Step 5: Solve for x
    x = 12,312.96/104.76
  6. Step 6: Final answer
    x = 117.53

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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.