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Finding the Fourth Proportional to 116, 173.04 and 114.72

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Solution

The fourth proportional to 116, 173.04 and 114.72 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 173.04 = 114.72 : x
  2. Step 2: Convert to fraction form
    116/173.04 = 114.72/x
  3. Step 3: Cross multiply
    116x = 173.04 × 114.72
  4. Step 4: Simplify right side
    116x = 19,851.15
  5. Step 5: Solve for x
    x = 19,851.15/116
  6. Step 6: Final answer
    x = 171.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.