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Finding the Fourth Proportional to 102.94, 154.36 and 37.93

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Solution

The fourth proportional to 102.94, 154.36 and 37.93 is: 56.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 154.36 = 37.93 : x
  2. Step 2: Convert to fraction form
    102.94/154.36 = 37.93/x
  3. Step 3: Cross multiply
    102.94x = 154.36 × 37.93
  4. Step 4: Simplify right side
    102.94x = 5,854.87
  5. Step 5: Solve for x
    x = 5,854.87/102.94
  6. Step 6: Final answer
    x = 56.88

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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.