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Finding the Fourth Proportional to 134.06, 200.10 and 117.06

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Solution

The fourth proportional to 134.06, 200.10 and 117.06 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 200.10 = 117.06 : x
  2. Step 2: Convert to fraction form
    134.06/200.10 = 117.06/x
  3. Step 3: Cross multiply
    134.06x = 200.10 × 117.06
  4. Step 4: Simplify right side
    134.06x = 23,423.71
  5. Step 5: Solve for x
    x = 23,423.71/134.06
  6. Step 6: Final answer
    x = 174.73

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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.