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Finding the Fourth Proportional to 66.24, 91.42 and 40.02

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Solution

The fourth proportional to 66.24, 91.42 and 40.02 is: 55.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.24 : 91.42 = 40.02 : x
  2. Step 2: Convert to fraction form
    66.24/91.42 = 40.02/x
  3. Step 3: Cross multiply
    66.24x = 91.42 × 40.02
  4. Step 4: Simplify right side
    66.24x = 3,658.63
  5. Step 5: Solve for x
    x = 3,658.63/66.24
  6. Step 6: Final answer
    x = 55.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.