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Finding the Fourth Proportional to 134.78, 202.25 and 66.31

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Solution

The fourth proportional to 134.78, 202.25 and 66.31 is: 99.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 202.25 = 66.31 : x
  2. Step 2: Convert to fraction form
    134.78/202.25 = 66.31/x
  3. Step 3: Cross multiply
    134.78x = 202.25 × 66.31
  4. Step 4: Simplify right side
    134.78x = 13,411.20
  5. Step 5: Solve for x
    x = 13,411.20/134.78
  6. Step 6: Final answer
    x = 99.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.