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Finding the Fourth Proportional to 111.42, 153.84 and 106.20

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Solution

The fourth proportional to 111.42, 153.84 and 106.20 is: 146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 153.84 = 106.20 : x
  2. Step 2: Convert to fraction form
    111.42/153.84 = 106.20/x
  3. Step 3: Cross multiply
    111.42x = 153.84 × 106.20
  4. Step 4: Simplify right side
    111.42x = 16,337.81
  5. Step 5: Solve for x
    x = 16,337.81/111.42
  6. Step 6: Final answer
    x = 146.63

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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.