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Finding the Fourth Proportional to 117.02, 176.36 and 105.62

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Solution

The fourth proportional to 117.02, 176.36 and 105.62 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.02 : 176.36 = 105.62 : x
  2. Step 2: Convert to fraction form
    117.02/176.36 = 105.62/x
  3. Step 3: Cross multiply
    117.02x = 176.36 × 105.62
  4. Step 4: Simplify right side
    117.02x = 18,627.14
  5. Step 5: Solve for x
    x = 18,627.14/117.02
  6. Step 6: Final answer
    x = 159.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.