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Finding the Fourth Proportional to 117.56, 176.29 and 40.50

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Solution

The fourth proportional to 117.56, 176.29 and 40.50 is: 60.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 176.29 = 40.50 : x
  2. Step 2: Convert to fraction form
    117.56/176.29 = 40.50/x
  3. Step 3: Cross multiply
    117.56x = 176.29 × 40.50
  4. Step 4: Simplify right side
    117.56x = 7,139.80
  5. Step 5: Solve for x
    x = 7,139.80/117.56
  6. Step 6: Final answer
    x = 60.73

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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.