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Finding the Fourth Proportional to 100.02, 150.08 and 48.71

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Solution

The fourth proportional to 100.02, 150.08 and 48.71 is: 73.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 150.08 = 48.71 : x
  2. Step 2: Convert to fraction form
    100.02/150.08 = 48.71/x
  3. Step 3: Cross multiply
    100.02x = 150.08 × 48.71
  4. Step 4: Simplify right side
    100.02x = 7,309.40
  5. Step 5: Solve for x
    x = 7,309.40/100.02
  6. Step 6: Final answer
    x = 73.08

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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.