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Finding the Fourth Proportional to 85.60, 128.49 and 51.43

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Solution

The fourth proportional to 85.60, 128.49 and 51.43 is: 77.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.60 : 128.49 = 51.43 : x
  2. Step 2: Convert to fraction form
    85.60/128.49 = 51.43/x
  3. Step 3: Cross multiply
    85.60x = 128.49 × 51.43
  4. Step 4: Simplify right side
    85.60x = 6,607.88
  5. Step 5: Solve for x
    x = 6,607.88/85.60
  6. Step 6: Final answer
    x = 77.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.