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Finding the Fourth Proportional to 117.45, 176.14 and 52.41

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Solution

The fourth proportional to 117.45, 176.14 and 52.41 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 176.14 = 52.41 : x
  2. Step 2: Convert to fraction form
    117.45/176.14 = 52.41/x
  3. Step 3: Cross multiply
    117.45x = 176.14 × 52.41
  4. Step 4: Simplify right side
    117.45x = 9,232.22
  5. Step 5: Solve for x
    x = 9,232.22/117.45
  6. Step 6: Final answer
    x = 78.61

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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.