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Finding the Fourth Proportional to 134.34, 201.56 and 105.46

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Solution

The fourth proportional to 134.34, 201.56 and 105.46 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.34 : 201.56 = 105.46 : x
  2. Step 2: Convert to fraction form
    134.34/201.56 = 105.46/x
  3. Step 3: Cross multiply
    134.34x = 201.56 × 105.46
  4. Step 4: Simplify right side
    134.34x = 21,256.52
  5. Step 5: Solve for x
    x = 21,256.52/134.34
  6. Step 6: Final answer
    x = 158.23

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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.