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Finding the Fourth Proportional to 35.98, 53.95 and 13.14

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Solution

The fourth proportional to 35.98, 53.95 and 13.14 is: 19.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.98 : 53.95 = 13.14 : x
  2. Step 2: Convert to fraction form
    35.98/53.95 = 13.14/x
  3. Step 3: Cross multiply
    35.98x = 53.95 × 13.14
  4. Step 4: Simplify right side
    35.98x = 708.80
  5. Step 5: Solve for x
    x = 708.80/35.98
  6. Step 6: Final answer
    x = 19.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.