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Finding the Fourth Proportional to 84.35, 116.34 and 61

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Solution

The fourth proportional to 84.35, 116.34 and 61 is: 84.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.35 : 116.34 = 61 : x
  2. Step 2: Convert to fraction form
    84.35/116.34 = 61/x
  3. Step 3: Cross multiply
    84.35x = 116.34 × 61
  4. Step 4: Simplify right side
    84.35x = 7,096.74
  5. Step 5: Solve for x
    x = 7,096.74/84.35
  6. Step 6: Final answer
    x = 84.13

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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.