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Finding the Fourth Proportional to 117.55, 176.37 and 49.11

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Solution

The fourth proportional to 117.55, 176.37 and 49.11 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.55 : 176.37 = 49.11 : x
  2. Step 2: Convert to fraction form
    117.55/176.37 = 49.11/x
  3. Step 3: Cross multiply
    117.55x = 176.37 × 49.11
  4. Step 4: Simplify right side
    117.55x = 8,661.53
  5. Step 5: Solve for x
    x = 8,661.53/117.55
  6. Step 6: Final answer
    x = 73.68

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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.