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Finding the Fourth Proportional to 84.40, 126.64 and 64.20

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Solution

The fourth proportional to 84.40, 126.64 and 64.20 is: 96.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.40 : 126.64 = 64.20 : x
  2. Step 2: Convert to fraction form
    84.40/126.64 = 64.20/x
  3. Step 3: Cross multiply
    84.40x = 126.64 × 64.20
  4. Step 4: Simplify right side
    84.40x = 8,130.29
  5. Step 5: Solve for x
    x = 8,130.29/84.40
  6. Step 6: Final answer
    x = 96.33

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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.