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Finding the Fourth Proportional to 66.43, 91.66 and 37.32

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Solution

The fourth proportional to 66.43, 91.66 and 37.32 is: 51.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.43 : 91.66 = 37.32 : x
  2. Step 2: Convert to fraction form
    66.43/91.66 = 37.32/x
  3. Step 3: Cross multiply
    66.43x = 91.66 × 37.32
  4. Step 4: Simplify right side
    66.43x = 3,420.29
  5. Step 5: Solve for x
    x = 3,420.29/66.43
  6. Step 6: Final answer
    x = 51.49

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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.