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Finding the Fourth Proportional to 147.12, 203.01 and 105.74

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Solution

The fourth proportional to 147.12, 203.01 and 105.74 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.01 = 105.74 : x
  2. Step 2: Convert to fraction form
    147.12/203.01 = 105.74/x
  3. Step 3: Cross multiply
    147.12x = 203.01 × 105.74
  4. Step 4: Simplify right side
    147.12x = 21,465.63
  5. Step 5: Solve for x
    x = 21,465.63/147.12
  6. Step 6: Final answer
    x = 145.91

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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.