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Finding the Fourth Proportional to 102.93, 154.31 and 45.19

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Solution

The fourth proportional to 102.93, 154.31 and 45.19 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.93 : 154.31 = 45.19 : x
  2. Step 2: Convert to fraction form
    102.93/154.31 = 45.19/x
  3. Step 3: Cross multiply
    102.93x = 154.31 × 45.19
  4. Step 4: Simplify right side
    102.93x = 6,973.24
  5. Step 5: Solve for x
    x = 6,973.24/102.93
  6. Step 6: Final answer
    x = 67.75

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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.