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Finding the Fourth Proportional to 85.84, 118.32 and 78.40

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Solution

The fourth proportional to 85.84, 118.32 and 78.40 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.32 = 78.40 : x
  2. Step 2: Convert to fraction form
    85.84/118.32 = 78.40/x
  3. Step 3: Cross multiply
    85.84x = 118.32 × 78.40
  4. Step 4: Simplify right side
    85.84x = 9,276.29
  5. Step 5: Solve for x
    x = 9,276.29/85.84
  6. Step 6: Final answer
    x = 108.06

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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.