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Finding the Fourth Proportional to 134.57, 201.57 and 117.24

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Solution

The fourth proportional to 134.57, 201.57 and 117.24 is: 175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.57 : 201.57 = 117.24 : x
  2. Step 2: Convert to fraction form
    134.57/201.57 = 117.24/x
  3. Step 3: Cross multiply
    134.57x = 201.57 × 117.24
  4. Step 4: Simplify right side
    134.57x = 23,632.07
  5. Step 5: Solve for x
    x = 23,632.07/134.57
  6. Step 6: Final answer
    x = 175.62

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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.