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Finding the Fourth Proportional to 132.64, 199.75 and 102.40

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Solution

The fourth proportional to 132.64, 199.75 and 102.40 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 199.75 = 102.40 : x
  2. Step 2: Convert to fraction form
    132.64/199.75 = 102.40/x
  3. Step 3: Cross multiply
    132.64x = 199.75 × 102.40
  4. Step 4: Simplify right side
    132.64x = 20,454.40
  5. Step 5: Solve for x
    x = 20,454.40/132.64
  6. Step 6: Final answer
    x = 154.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.