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Finding the Fourth Proportional to 35.88, 53.82 and 10.20

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Solution

The fourth proportional to 35.88, 53.82 and 10.20 is: 15.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.88 : 53.82 = 10.20 : x
  2. Step 2: Convert to fraction form
    35.88/53.82 = 10.20/x
  3. Step 3: Cross multiply
    35.88x = 53.82 × 10.20
  4. Step 4: Simplify right side
    35.88x = 549.14
  5. Step 5: Solve for x
    x = 549.14/35.88
  6. Step 6: Final answer
    x = 15.30

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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.