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Finding the Fourth Proportional to 40.06, 59.95 and 31.46

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Solution

The fourth proportional to 40.06, 59.95 and 31.46 is: 47.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.06 : 59.95 = 31.46 : x
  2. Step 2: Convert to fraction form
    40.06/59.95 = 31.46/x
  3. Step 3: Cross multiply
    40.06x = 59.95 × 31.46
  4. Step 4: Simplify right side
    40.06x = 1,886.03
  5. Step 5: Solve for x
    x = 1,886.03/40.06
  6. Step 6: Final answer
    x = 47.08

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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.