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Finding the Fourth Proportional to 64.41, 88.70 and 57.43

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Solution

The fourth proportional to 64.41, 88.70 and 57.43 is: 79.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.41 : 88.70 = 57.43 : x
  2. Step 2: Convert to fraction form
    64.41/88.70 = 57.43/x
  3. Step 3: Cross multiply
    64.41x = 88.70 × 57.43
  4. Step 4: Simplify right side
    64.41x = 5,094.04
  5. Step 5: Solve for x
    x = 5,094.04/64.41
  6. Step 6: Final answer
    x = 79.09

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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.