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Finding the Fourth Proportional to 64.21, 88.56 and 42.41

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Solution

The fourth proportional to 64.21, 88.56 and 42.41 is: 58.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.21 : 88.56 = 42.41 : x
  2. Step 2: Convert to fraction form
    64.21/88.56 = 42.41/x
  3. Step 3: Cross multiply
    64.21x = 88.56 × 42.41
  4. Step 4: Simplify right side
    64.21x = 3,755.83
  5. Step 5: Solve for x
    x = 3,755.83/64.21
  6. Step 6: Final answer
    x = 58.49

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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.