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Finding the Fourth Proportional to 35.34, 48.78 and 23.07

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Solution

The fourth proportional to 35.34, 48.78 and 23.07 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.34 : 48.78 = 23.07 : x
  2. Step 2: Convert to fraction form
    35.34/48.78 = 23.07/x
  3. Step 3: Cross multiply
    35.34x = 48.78 × 23.07
  4. Step 4: Simplify right side
    35.34x = 1,125.35
  5. Step 5: Solve for x
    x = 1,125.35/35.34
  6. Step 6: Final answer
    x = 31.84

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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.