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Finding the Fourth Proportional to 117.65, 176.41 and 45.48

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Solution

The fourth proportional to 117.65, 176.41 and 45.48 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.65 : 176.41 = 45.48 : x
  2. Step 2: Convert to fraction form
    117.65/176.41 = 45.48/x
  3. Step 3: Cross multiply
    117.65x = 176.41 × 45.48
  4. Step 4: Simplify right side
    117.65x = 8,023.13
  5. Step 5: Solve for x
    x = 8,023.13/117.65
  6. Step 6: Final answer
    x = 68.19

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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.