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Finding the Fourth Proportional to 64.40, 88.23 and 61.97

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Solution

The fourth proportional to 64.40, 88.23 and 61.97 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.40 : 88.23 = 61.97 : x
  2. Step 2: Convert to fraction form
    64.40/88.23 = 61.97/x
  3. Step 3: Cross multiply
    64.40x = 88.23 × 61.97
  4. Step 4: Simplify right side
    64.40x = 5,467.17
  5. Step 5: Solve for x
    x = 5,467.17/64.40
  6. Step 6: Final answer
    x = 84.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.