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Finding the Fourth Proportional to 64.60, 89.23 and 56.85

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Solution

The fourth proportional to 64.60, 89.23 and 56.85 is: 78.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 89.23 = 56.85 : x
  2. Step 2: Convert to fraction form
    64.60/89.23 = 56.85/x
  3. Step 3: Cross multiply
    64.60x = 89.23 × 56.85
  4. Step 4: Simplify right side
    64.60x = 5,072.70
  5. Step 5: Solve for x
    x = 5,072.70/64.60
  6. Step 6: Final answer
    x = 78.53

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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.