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Finding the Fourth Proportional to 154, 212.43 and 101.53

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Solution

The fourth proportional to 154, 212.43 and 101.53 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 212.43 = 101.53 : x
  2. Step 2: Convert to fraction form
    154/212.43 = 101.53/x
  3. Step 3: Cross multiply
    154x = 212.43 × 101.53
  4. Step 4: Simplify right side
    154x = 21,568.02
  5. Step 5: Solve for x
    x = 21,568.02/154
  6. Step 6: Final answer
    x = 140.05

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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.