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Finding the Fourth Proportional to 110.07, 151.80 and 68.63

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Solution

The fourth proportional to 110.07, 151.80 and 68.63 is: 94.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.07 : 151.80 = 68.63 : x
  2. Step 2: Convert to fraction form
    110.07/151.80 = 68.63/x
  3. Step 3: Cross multiply
    110.07x = 151.80 × 68.63
  4. Step 4: Simplify right side
    110.07x = 10,417.74
  5. Step 5: Solve for x
    x = 10,417.74/110.07
  6. Step 6: Final answer
    x = 94.65

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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.