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Finding the Fourth Proportional to 40.69, 61.46 and 40.69

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Solution

The fourth proportional to 40.69, 61.46 and 40.69 is: 61.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.69 : 61.46 = 40.69 : x
  2. Step 2: Convert to fraction form
    40.69/61.46 = 40.69/x
  3. Step 3: Cross multiply
    40.69x = 61.46 × 40.69
  4. Step 4: Simplify right side
    40.69x = 2,500.81
  5. Step 5: Solve for x
    x = 2,500.81/40.69
  6. Step 6: Final answer
    x = 61.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.