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Finding the Fourth Proportional to 35.64, 53.50 and 21.42

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Solution

The fourth proportional to 35.64, 53.50 and 21.42 is: 32.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.64 : 53.50 = 21.42 : x
  2. Step 2: Convert to fraction form
    35.64/53.50 = 21.42/x
  3. Step 3: Cross multiply
    35.64x = 53.50 × 21.42
  4. Step 4: Simplify right side
    35.64x = 1,145.97
  5. Step 5: Solve for x
    x = 1,145.97/35.64
  6. Step 6: Final answer
    x = 32.15

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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.