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Finding the Fourth Proportional to 137.47, 206.20 and 56.26

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Solution

The fourth proportional to 137.47, 206.20 and 56.26 is: 84.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 206.20 = 56.26 : x
  2. Step 2: Convert to fraction form
    137.47/206.20 = 56.26/x
  3. Step 3: Cross multiply
    137.47x = 206.20 × 56.26
  4. Step 4: Simplify right side
    137.47x = 11,599.92
  5. Step 5: Solve for x
    x = 11,599.92/137.47
  6. Step 6: Final answer
    x = 84.38

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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.