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Finding the Fourth Proportional to 104.14, 156.32 and 85.10

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Solution

The fourth proportional to 104.14, 156.32 and 85.10 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.14 : 156.32 = 85.10 : x
  2. Step 2: Convert to fraction form
    104.14/156.32 = 85.10/x
  3. Step 3: Cross multiply
    104.14x = 156.32 × 85.10
  4. Step 4: Simplify right side
    104.14x = 13,302.83
  5. Step 5: Solve for x
    x = 13,302.83/104.14
  6. Step 6: Final answer
    x = 127.74

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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.