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Finding the Fourth Proportional to 84.32, 116.40 and 64.94

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Solution

The fourth proportional to 84.32, 116.40 and 64.94 is: 89.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 116.40 = 64.94 : x
  2. Step 2: Convert to fraction form
    84.32/116.40 = 64.94/x
  3. Step 3: Cross multiply
    84.32x = 116.40 × 64.94
  4. Step 4: Simplify right side
    84.32x = 7,559.02
  5. Step 5: Solve for x
    x = 7,559.02/84.32
  6. Step 6: Final answer
    x = 89.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.