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Finding the Fourth Proportional to 117.97, 177.00 and 74.67

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Solution

The fourth proportional to 117.97, 177.00 and 74.67 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 177.00 = 74.67 : x
  2. Step 2: Convert to fraction form
    117.97/177.00 = 74.67/x
  3. Step 3: Cross multiply
    117.97x = 177.00 × 74.67
  4. Step 4: Simplify right side
    117.97x = 13,216.22
  5. Step 5: Solve for x
    x = 13,216.22/117.97
  6. Step 6: Final answer
    x = 112.03

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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.