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Finding the Fourth Proportional to 64.21, 88.56 and 40.90

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Solution

The fourth proportional to 64.21, 88.56 and 40.90 is: 56.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.21 : 88.56 = 40.90 : x
  2. Step 2: Convert to fraction form
    64.21/88.56 = 40.90/x
  3. Step 3: Cross multiply
    64.21x = 88.56 × 40.90
  4. Step 4: Simplify right side
    64.21x = 3,621.88
  5. Step 5: Solve for x
    x = 3,621.88/64.21
  6. Step 6: Final answer
    x = 56.41

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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.