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Finding the Fourth Proportional to 154.56, 213.40 and 102.15

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Solution

The fourth proportional to 154.56, 213.40 and 102.15 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 213.40 = 102.15 : x
  2. Step 2: Convert to fraction form
    154.56/213.40 = 102.15/x
  3. Step 3: Cross multiply
    154.56x = 213.40 × 102.15
  4. Step 4: Simplify right side
    154.56x = 21,798.81
  5. Step 5: Solve for x
    x = 21,798.81/154.56
  6. Step 6: Final answer
    x = 141.04

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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.