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Finding the Fourth Proportional to 121.64, 167.84 and 77.98

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Solution

The fourth proportional to 121.64, 167.84 and 77.98 is: 107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.64 : 167.84 = 77.98 : x
  2. Step 2: Convert to fraction form
    121.64/167.84 = 77.98/x
  3. Step 3: Cross multiply
    121.64x = 167.84 × 77.98
  4. Step 4: Simplify right side
    121.64x = 13,088.16
  5. Step 5: Solve for x
    x = 13,088.16/121.64
  6. Step 6: Final answer
    x = 107.60

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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.