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Finding the Fourth Proportional to 64.10, 88.43 and 57.20

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Solution

The fourth proportional to 64.10, 88.43 and 57.20 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.10 : 88.43 = 57.20 : x
  2. Step 2: Convert to fraction form
    64.10/88.43 = 57.20/x
  3. Step 3: Cross multiply
    64.10x = 88.43 × 57.20
  4. Step 4: Simplify right side
    64.10x = 5,057.47
  5. Step 5: Solve for x
    x = 5,057.47/64.10
  6. Step 6: Final answer
    x = 78.91

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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.