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Finding the Fourth Proportional to 35.35, 48.75 and 23.06

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Solution

The fourth proportional to 35.35, 48.75 and 23.06 is: 31.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.35 : 48.75 = 23.06 : x
  2. Step 2: Convert to fraction form
    35.35/48.75 = 23.06/x
  3. Step 3: Cross multiply
    35.35x = 48.75 × 23.06
  4. Step 4: Simplify right side
    35.35x = 1,124.18
  5. Step 5: Solve for x
    x = 1,124.18/35.35
  6. Step 6: Final answer
    x = 31.80

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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.