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Finding the Fourth Proportional to 43.66, 65.43 and 37.58

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Solution

The fourth proportional to 43.66, 65.43 and 37.58 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 65.43 = 37.58 : x
  2. Step 2: Convert to fraction form
    43.66/65.43 = 37.58/x
  3. Step 3: Cross multiply
    43.66x = 65.43 × 37.58
  4. Step 4: Simplify right side
    43.66x = 2,459.02
  5. Step 5: Solve for x
    x = 2,459.02/43.66
  6. Step 6: Final answer
    x = 56.33

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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.