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Finding the Fourth Proportional to 35.10, 48.54 and 30.99

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Solution

The fourth proportional to 35.10, 48.54 and 30.99 is: 42.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.10 : 48.54 = 30.99 : x
  2. Step 2: Convert to fraction form
    35.10/48.54 = 30.99/x
  3. Step 3: Cross multiply
    35.10x = 48.54 × 30.99
  4. Step 4: Simplify right side
    35.10x = 1,504.25
  5. Step 5: Solve for x
    x = 1,504.25/35.10
  6. Step 6: Final answer
    x = 42.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.