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Finding the Fourth Proportional to 117.53, 176.32 and 40.52

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Solution

The fourth proportional to 117.53, 176.32 and 40.52 is: 60.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.53 : 176.32 = 40.52 : x
  2. Step 2: Convert to fraction form
    117.53/176.32 = 40.52/x
  3. Step 3: Cross multiply
    117.53x = 176.32 × 40.52
  4. Step 4: Simplify right side
    117.53x = 7,144.49
  5. Step 5: Solve for x
    x = 7,144.49/117.53
  6. Step 6: Final answer
    x = 60.79

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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.