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Finding the Fourth Proportional to 67.05, 92.25 and 56.07

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Solution

The fourth proportional to 67.05, 92.25 and 56.07 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 92.25 = 56.07 : x
  2. Step 2: Convert to fraction form
    67.05/92.25 = 56.07/x
  3. Step 3: Cross multiply
    67.05x = 92.25 × 56.07
  4. Step 4: Simplify right side
    67.05x = 5,172.46
  5. Step 5: Solve for x
    x = 5,172.46/67.05
  6. Step 6: Final answer
    x = 77.14

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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.