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Finding the Fourth Proportional to 117.72, 176.51 and 72.02

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Solution

The fourth proportional to 117.72, 176.51 and 72.02 is: 107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.72 : 176.51 = 72.02 : x
  2. Step 2: Convert to fraction form
    117.72/176.51 = 72.02/x
  3. Step 3: Cross multiply
    117.72x = 176.51 × 72.02
  4. Step 4: Simplify right side
    117.72x = 12,711.01
  5. Step 5: Solve for x
    x = 12,711.01/117.72
  6. Step 6: Final answer
    x = 107.98

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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.