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Finding the Fourth Proportional to 64.71, 89.40 and 49.22

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Solution

The fourth proportional to 64.71, 89.40 and 49.22 is: 67.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 89.40 = 49.22 : x
  2. Step 2: Convert to fraction form
    64.71/89.40 = 49.22/x
  3. Step 3: Cross multiply
    64.71x = 89.40 × 49.22
  4. Step 4: Simplify right side
    64.71x = 4,399.82
  5. Step 5: Solve for x
    x = 4,399.82/64.71
  6. Step 6: Final answer
    x = 67.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.