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Finding the Fourth Proportional to 100.02, 149.95 and 31.51

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Solution

The fourth proportional to 100.02, 149.95 and 31.51 is: 47.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 149.95 = 31.51 : x
  2. Step 2: Convert to fraction form
    100.02/149.95 = 31.51/x
  3. Step 3: Cross multiply
    100.02x = 149.95 × 31.51
  4. Step 4: Simplify right side
    100.02x = 4,724.31
  5. Step 5: Solve for x
    x = 4,724.31/100.02
  6. Step 6: Final answer
    x = 47.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.