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Finding the Fourth Proportional to 35.53, 53.27 and 18.40

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Solution

The fourth proportional to 35.53, 53.27 and 18.40 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.53 : 53.27 = 18.40 : x
  2. Step 2: Convert to fraction form
    35.53/53.27 = 18.40/x
  3. Step 3: Cross multiply
    35.53x = 53.27 × 18.40
  4. Step 4: Simplify right side
    35.53x = 980.17
  5. Step 5: Solve for x
    x = 980.17/35.53
  6. Step 6: Final answer
    x = 27.59

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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.