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Finding the Fourth Proportional to 64.11, 96.54 and 56.08

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Solution

The fourth proportional to 64.11, 96.54 and 56.08 is: 84.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.11 : 96.54 = 56.08 : x
  2. Step 2: Convert to fraction form
    64.11/96.54 = 56.08/x
  3. Step 3: Cross multiply
    64.11x = 96.54 × 56.08
  4. Step 4: Simplify right side
    64.11x = 5,414.05
  5. Step 5: Solve for x
    x = 5,414.05/64.11
  6. Step 6: Final answer
    x = 84.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.