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Finding the Fourth Proportional to 84.18, 116.07 and 64.29

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Solution

The fourth proportional to 84.18, 116.07 and 64.29 is: 88.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.18 : 116.07 = 64.29 : x
  2. Step 2: Convert to fraction form
    84.18/116.07 = 64.29/x
  3. Step 3: Cross multiply
    84.18x = 116.07 × 64.29
  4. Step 4: Simplify right side
    84.18x = 7,461.90
  5. Step 5: Solve for x
    x = 7,461.90/84.18
  6. Step 6: Final answer
    x = 88.64

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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.