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Finding the Fourth Proportional to 64.70, 89.20 and 56.96

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Solution

The fourth proportional to 64.70, 89.20 and 56.96 is: 78.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.70 : 89.20 = 56.96 : x
  2. Step 2: Convert to fraction form
    64.70/89.20 = 56.96/x
  3. Step 3: Cross multiply
    64.70x = 89.20 × 56.96
  4. Step 4: Simplify right side
    64.70x = 5,080.83
  5. Step 5: Solve for x
    x = 5,080.83/64.70
  6. Step 6: Final answer
    x = 78.53

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Why These Related Problems?

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