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Finding the Fourth Proportional to 117.63, 176.53 and 45.49

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Solution

The fourth proportional to 117.63, 176.53 and 45.49 is: 68.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 176.53 = 45.49 : x
  2. Step 2: Convert to fraction form
    117.63/176.53 = 45.49/x
  3. Step 3: Cross multiply
    117.63x = 176.53 × 45.49
  4. Step 4: Simplify right side
    117.63x = 8,030.52
  5. Step 5: Solve for x
    x = 8,030.52/117.63
  6. Step 6: Final answer
    x = 68.27

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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.