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Finding the Fourth Proportional to 134.31, 201.51 and 117.93

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Solution

The fourth proportional to 134.31, 201.51 and 117.93 is: 176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 201.51 = 117.93 : x
  2. Step 2: Convert to fraction form
    134.31/201.51 = 117.93/x
  3. Step 3: Cross multiply
    134.31x = 201.51 × 117.93
  4. Step 4: Simplify right side
    134.31x = 23,764.07
  5. Step 5: Solve for x
    x = 23,764.07/134.31
  6. Step 6: Final answer
    x = 176.93

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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.