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Finding the Fourth Proportional to 43.16, 64.75 and 42.80

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Solution

The fourth proportional to 43.16, 64.75 and 42.80 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 64.75 = 42.80 : x
  2. Step 2: Convert to fraction form
    43.16/64.75 = 42.80/x
  3. Step 3: Cross multiply
    43.16x = 64.75 × 42.80
  4. Step 4: Simplify right side
    43.16x = 2,771.30
  5. Step 5: Solve for x
    x = 2,771.30/43.16
  6. Step 6: Final answer
    x = 64.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.