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Finding the Fourth Proportional to 85.84, 118.32 and 74.16

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Solution

The fourth proportional to 85.84, 118.32 and 74.16 is: 102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.32 = 74.16 : x
  2. Step 2: Convert to fraction form
    85.84/118.32 = 74.16/x
  3. Step 3: Cross multiply
    85.84x = 118.32 × 74.16
  4. Step 4: Simplify right side
    85.84x = 8,774.61
  5. Step 5: Solve for x
    x = 8,774.61/85.84
  6. Step 6: Final answer
    x = 102.22

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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.