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Finding the Fourth Proportional to 117.29, 175.88 and 48.83

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Solution

The fourth proportional to 117.29, 175.88 and 48.83 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 175.88 = 48.83 : x
  2. Step 2: Convert to fraction form
    117.29/175.88 = 48.83/x
  3. Step 3: Cross multiply
    117.29x = 175.88 × 48.83
  4. Step 4: Simplify right side
    117.29x = 8,587.46
  5. Step 5: Solve for x
    x = 8,587.46/117.29
  6. Step 6: Final answer
    x = 73.21

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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.