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Finding the Fourth Proportional to 166.68, 230.00 and 101.18

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Solution

The fourth proportional to 166.68, 230.00 and 101.18 is: 139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 230.00 = 101.18 : x
  2. Step 2: Convert to fraction form
    166.68/230.00 = 101.18/x
  3. Step 3: Cross multiply
    166.68x = 230.00 × 101.18
  4. Step 4: Simplify right side
    166.68x = 23,271.47
  5. Step 5: Solve for x
    x = 23,271.47/166.68
  6. Step 6: Final answer
    x = 139.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.