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Finding the Fourth Proportional to 154.47, 213.16 and 84.53

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Solution

The fourth proportional to 154.47, 213.16 and 84.53 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.47 : 213.16 = 84.53 : x
  2. Step 2: Convert to fraction form
    154.47/213.16 = 84.53/x
  3. Step 3: Cross multiply
    154.47x = 213.16 × 84.53
  4. Step 4: Simplify right side
    154.47x = 18,017.35
  5. Step 5: Solve for x
    x = 18,017.35/154.47
  6. Step 6: Final answer
    x = 116.64

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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.