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Finding the Fourth Proportional to 42.22, 63.05 and 37.50

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Solution

The fourth proportional to 42.22, 63.05 and 37.50 is: 56.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.22 : 63.05 = 37.50 : x
  2. Step 2: Convert to fraction form
    42.22/63.05 = 37.50/x
  3. Step 3: Cross multiply
    42.22x = 63.05 × 37.50
  4. Step 4: Simplify right side
    42.22x = 2,364.38
  5. Step 5: Solve for x
    x = 2,364.38/42.22
  6. Step 6: Final answer
    x = 56.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.