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Finding the Fourth Proportional to 117.58, 176.46 and 96.34

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Solution

The fourth proportional to 117.58, 176.46 and 96.34 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.58 : 176.46 = 96.34 : x
  2. Step 2: Convert to fraction form
    117.58/176.46 = 96.34/x
  3. Step 3: Cross multiply
    117.58x = 176.46 × 96.34
  4. Step 4: Simplify right side
    117.58x = 17,000.16
  5. Step 5: Solve for x
    x = 17,000.16/117.58
  6. Step 6: Final answer
    x = 144.58

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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.