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Finding the Fourth Proportional to 166.53, 229.83 and 101.10

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Solution

The fourth proportional to 166.53, 229.83 and 101.10 is: 139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 229.83 = 101.10 : x
  2. Step 2: Convert to fraction form
    166.53/229.83 = 101.10/x
  3. Step 3: Cross multiply
    166.53x = 229.83 × 101.10
  4. Step 4: Simplify right side
    166.53x = 23,235.81
  5. Step 5: Solve for x
    x = 23,235.81/166.53
  6. Step 6: Final answer
    x = 139.53

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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.