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Finding the Fourth Proportional to 110.34, 153.04 and 106.56

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Solution

The fourth proportional to 110.34, 153.04 and 106.56 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 153.04 = 106.56 : x
  2. Step 2: Convert to fraction form
    110.34/153.04 = 106.56/x
  3. Step 3: Cross multiply
    110.34x = 153.04 × 106.56
  4. Step 4: Simplify right side
    110.34x = 16,307.94
  5. Step 5: Solve for x
    x = 16,307.94/110.34
  6. Step 6: Final answer
    x = 147.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.