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Finding the Fourth Proportional to 85.65, 128.52 and 40.02

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Solution

The fourth proportional to 85.65, 128.52 and 40.02 is: 60.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.65 : 128.52 = 40.02 : x
  2. Step 2: Convert to fraction form
    85.65/128.52 = 40.02/x
  3. Step 3: Cross multiply
    85.65x = 128.52 × 40.02
  4. Step 4: Simplify right side
    85.65x = 5,143.37
  5. Step 5: Solve for x
    x = 5,143.37/85.65
  6. Step 6: Final answer
    x = 60.05

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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.