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Finding the Fourth Proportional to 117.53, 176.18 and 49.09

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Solution

The fourth proportional to 117.53, 176.18 and 49.09 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.53 : 176.18 = 49.09 : x
  2. Step 2: Convert to fraction form
    117.53/176.18 = 49.09/x
  3. Step 3: Cross multiply
    117.53x = 176.18 × 49.09
  4. Step 4: Simplify right side
    117.53x = 8,649.15
  5. Step 5: Solve for x
    x = 8,649.15/117.53
  6. Step 6: Final answer
    x = 73.59

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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.