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Finding the Fourth Proportional to 84.12, 116.04 and 64.50

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Solution

The fourth proportional to 84.12, 116.04 and 64.50 is: 88.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 116.04 = 64.50 : x
  2. Step 2: Convert to fraction form
    84.12/116.04 = 64.50/x
  3. Step 3: Cross multiply
    84.12x = 116.04 × 64.50
  4. Step 4: Simplify right side
    84.12x = 7,484.58
  5. Step 5: Solve for x
    x = 7,484.58/84.12
  6. Step 6: Final answer
    x = 88.98

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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.