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Finding the Fourth Proportional to 117.99, 177.05 and 49.57

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Solution

The fourth proportional to 117.99, 177.05 and 49.57 is: 74.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 177.05 = 49.57 : x
  2. Step 2: Convert to fraction form
    117.99/177.05 = 49.57/x
  3. Step 3: Cross multiply
    117.99x = 177.05 × 49.57
  4. Step 4: Simplify right side
    117.99x = 8,776.37
  5. Step 5: Solve for x
    x = 8,776.37/117.99
  6. Step 6: Final answer
    x = 74.38

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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.