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Finding the Fourth Proportional to 116.58, 175.05 and 95.34

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Solution

The fourth proportional to 116.58, 175.05 and 95.34 is: 143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 175.05 = 95.34 : x
  2. Step 2: Convert to fraction form
    116.58/175.05 = 95.34/x
  3. Step 3: Cross multiply
    116.58x = 175.05 × 95.34
  4. Step 4: Simplify right side
    116.58x = 16,689.27
  5. Step 5: Solve for x
    x = 16,689.27/116.58
  6. Step 6: Final answer
    x = 143.16

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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.