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Finding the Fourth Proportional to 40.90, 56.72 and 38.58

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Solution

The fourth proportional to 40.90, 56.72 and 38.58 is: 53.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.90 : 56.72 = 38.58 : x
  2. Step 2: Convert to fraction form
    40.90/56.72 = 38.58/x
  3. Step 3: Cross multiply
    40.90x = 56.72 × 38.58
  4. Step 4: Simplify right side
    40.90x = 2,188.26
  5. Step 5: Solve for x
    x = 2,188.26/40.90
  6. Step 6: Final answer
    x = 53.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.