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Finding the Fourth Proportional to 64.72, 89.44 and 56.24

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Solution

The fourth proportional to 64.72, 89.44 and 56.24 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 89.44 = 56.24 : x
  2. Step 2: Convert to fraction form
    64.72/89.44 = 56.24/x
  3. Step 3: Cross multiply
    64.72x = 89.44 × 56.24
  4. Step 4: Simplify right side
    64.72x = 5,030.11
  5. Step 5: Solve for x
    x = 5,030.11/64.72
  6. Step 6: Final answer
    x = 77.72

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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.