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Finding the Fourth Proportional to 132.51, 197.59 and 114.31

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Solution

The fourth proportional to 132.51, 197.59 and 114.31 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 197.59 = 114.31 : x
  2. Step 2: Convert to fraction form
    132.51/197.59 = 114.31/x
  3. Step 3: Cross multiply
    132.51x = 197.59 × 114.31
  4. Step 4: Simplify right side
    132.51x = 22,586.51
  5. Step 5: Solve for x
    x = 22,586.51/132.51
  6. Step 6: Final answer
    x = 170.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.