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Finding the Fourth Proportional to 44.58, 66.56 and 35.78

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Solution

The fourth proportional to 44.58, 66.56 and 35.78 is: 53.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 66.56 = 35.78 : x
  2. Step 2: Convert to fraction form
    44.58/66.56 = 35.78/x
  3. Step 3: Cross multiply
    44.58x = 66.56 × 35.78
  4. Step 4: Simplify right side
    44.58x = 2,381.71
  5. Step 5: Solve for x
    x = 2,381.71/44.58
  6. Step 6: Final answer
    x = 53.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.