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Finding the Fourth Proportional to 42.02, 63.01 and 35.64

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Solution

The fourth proportional to 42.02, 63.01 and 35.64 is: 53.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.02 : 63.01 = 35.64 : x
  2. Step 2: Convert to fraction form
    42.02/63.01 = 35.64/x
  3. Step 3: Cross multiply
    42.02x = 63.01 × 35.64
  4. Step 4: Simplify right side
    42.02x = 2,245.72
  5. Step 5: Solve for x
    x = 2,245.72/42.02
  6. Step 6: Final answer
    x = 53.45

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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.