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Finding the Fourth Proportional to 117.46, 176.16 and 59.62

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Solution

The fourth proportional to 117.46, 176.16 and 59.62 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 176.16 = 59.62 : x
  2. Step 2: Convert to fraction form
    117.46/176.16 = 59.62/x
  3. Step 3: Cross multiply
    117.46x = 176.16 × 59.62
  4. Step 4: Simplify right side
    117.46x = 10,502.66
  5. Step 5: Solve for x
    x = 10,502.66/117.46
  6. Step 6: Final answer
    x = 89.41

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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.