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Finding the Fourth Proportional to 85.64, 128.40 and 51.42

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Solution

The fourth proportional to 85.64, 128.40 and 51.42 is: 77.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 128.40 = 51.42 : x
  2. Step 2: Convert to fraction form
    85.64/128.40 = 51.42/x
  3. Step 3: Cross multiply
    85.64x = 128.40 × 51.42
  4. Step 4: Simplify right side
    85.64x = 6,602.33
  5. Step 5: Solve for x
    x = 6,602.33/85.64
  6. Step 6: Final answer
    x = 77.09

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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.