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Finding the Fourth Proportional to 116.72, 174.62 and 78.22

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Solution

The fourth proportional to 116.72, 174.62 and 78.22 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 174.62 = 78.22 : x
  2. Step 2: Convert to fraction form
    116.72/174.62 = 78.22/x
  3. Step 3: Cross multiply
    116.72x = 174.62 × 78.22
  4. Step 4: Simplify right side
    116.72x = 13,657.71
  5. Step 5: Solve for x
    x = 13,657.71/116.72
  6. Step 6: Final answer
    x = 117.02

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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.