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Finding the Fourth Proportional to 102.69, 154.02 and 37.68

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Solution

The fourth proportional to 102.69, 154.02 and 37.68 is: 56.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 154.02 = 37.68 : x
  2. Step 2: Convert to fraction form
    102.69/154.02 = 37.68/x
  3. Step 3: Cross multiply
    102.69x = 154.02 × 37.68
  4. Step 4: Simplify right side
    102.69x = 5,803.47
  5. Step 5: Solve for x
    x = 5,803.47/102.69
  6. Step 6: Final answer
    x = 56.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.