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Finding the Fourth Proportional to 35, 52.48 and 21.46

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Solution

The fourth proportional to 35, 52.48 and 21.46 is: 32.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 52.48 = 21.46 : x
  2. Step 2: Convert to fraction form
    35/52.48 = 21.46/x
  3. Step 3: Cross multiply
    35x = 52.48 × 21.46
  4. Step 4: Simplify right side
    35x = 1,126.22
  5. Step 5: Solve for x
    x = 1,126.22/35
  6. Step 6: Final answer
    x = 32.18

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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.