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Finding the Fourth Proportional to 147.71, 203.63 and 106.25

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Solution

The fourth proportional to 147.71, 203.63 and 106.25 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.71 : 203.63 = 106.25 : x
  2. Step 2: Convert to fraction form
    147.71/203.63 = 106.25/x
  3. Step 3: Cross multiply
    147.71x = 203.63 × 106.25
  4. Step 4: Simplify right side
    147.71x = 21,634.14
  5. Step 5: Solve for x
    x = 21,634.14/147.71
  6. Step 6: Final answer
    x = 146.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.