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Finding the Fourth Proportional to 169.84, 254.82 and 101.40

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Solution

The fourth proportional to 169.84, 254.82 and 101.40 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 254.82 = 101.40 : x
  2. Step 2: Convert to fraction form
    169.84/254.82 = 101.40/x
  3. Step 3: Cross multiply
    169.84x = 254.82 × 101.40
  4. Step 4: Simplify right side
    169.84x = 25,838.75
  5. Step 5: Solve for x
    x = 25,838.75/169.84
  6. Step 6: Final answer
    x = 152.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.