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Finding the Fourth Proportional to 307.71, 461.52 and 102.45

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Solution

The fourth proportional to 307.71, 461.52 and 102.45 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.71 : 461.52 = 102.45 : x
  2. Step 2: Convert to fraction form
    307.71/461.52 = 102.45/x
  3. Step 3: Cross multiply
    307.71x = 461.52 × 102.45
  4. Step 4: Simplify right side
    307.71x = 47,282.72
  5. Step 5: Solve for x
    x = 47,282.72/307.71
  6. Step 6: Final answer
    x = 153.66

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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.