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Finding the Fourth Proportional to 102.69, 154.10 and 57.07

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Solution

The fourth proportional to 102.69, 154.10 and 57.07 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 154.10 = 57.07 : x
  2. Step 2: Convert to fraction form
    102.69/154.10 = 57.07/x
  3. Step 3: Cross multiply
    102.69x = 154.10 × 57.07
  4. Step 4: Simplify right side
    102.69x = 8,794.82
  5. Step 5: Solve for x
    x = 8,794.82/102.69
  6. Step 6: Final answer
    x = 85.64

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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.