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Finding the Fourth Proportional to 35.36, 52.74 and 30.84

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Solution

The fourth proportional to 35.36, 52.74 and 30.84 is: 46.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.36 : 52.74 = 30.84 : x
  2. Step 2: Convert to fraction form
    35.36/52.74 = 30.84/x
  3. Step 3: Cross multiply
    35.36x = 52.74 × 30.84
  4. Step 4: Simplify right side
    35.36x = 1,626.50
  5. Step 5: Solve for x
    x = 1,626.50/35.36
  6. Step 6: Final answer
    x = 46.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.