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Finding the Fourth Proportional to 35.28, 53.10 and 32.04

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Solution

The fourth proportional to 35.28, 53.10 and 32.04 is: 48.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.28 : 53.10 = 32.04 : x
  2. Step 2: Convert to fraction form
    35.28/53.10 = 32.04/x
  3. Step 3: Cross multiply
    35.28x = 53.10 × 32.04
  4. Step 4: Simplify right side
    35.28x = 1,701.32
  5. Step 5: Solve for x
    x = 1,701.32/35.28
  6. Step 6: Final answer
    x = 48.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.