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Finding the Fourth Proportional to 126.02, 189.08 and 101.63

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Solution

The fourth proportional to 126.02, 189.08 and 101.63 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 189.08 = 101.63 : x
  2. Step 2: Convert to fraction form
    126.02/189.08 = 101.63/x
  3. Step 3: Cross multiply
    126.02x = 189.08 × 101.63
  4. Step 4: Simplify right side
    126.02x = 19,214.75
  5. Step 5: Solve for x
    x = 19,214.75/126.02
  6. Step 6: Final answer
    x = 152.48

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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.