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Finding the Fourth Proportional to 85.74, 128.48 and 40.02

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Solution

The fourth proportional to 85.74, 128.48 and 40.02 is: 59.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.74 : 128.48 = 40.02 : x
  2. Step 2: Convert to fraction form
    85.74/128.48 = 40.02/x
  3. Step 3: Cross multiply
    85.74x = 128.48 × 40.02
  4. Step 4: Simplify right side
    85.74x = 5,141.77
  5. Step 5: Solve for x
    x = 5,141.77/85.74
  6. Step 6: Final answer
    x = 59.97

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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.