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Finding the Fourth Proportional to 154.58, 213.28 and 102.14

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Solution

The fourth proportional to 154.58, 213.28 and 102.14 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.58 : 213.28 = 102.14 : x
  2. Step 2: Convert to fraction form
    154.58/213.28 = 102.14/x
  3. Step 3: Cross multiply
    154.58x = 213.28 × 102.14
  4. Step 4: Simplify right side
    154.58x = 21,784.42
  5. Step 5: Solve for x
    x = 21,784.42/154.58
  6. Step 6: Final answer
    x = 140.93

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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.