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Finding the Fourth Proportional to 47.58, 65.68 and 30.12

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Solution

The fourth proportional to 47.58, 65.68 and 30.12 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.58 : 65.68 = 30.12 : x
  2. Step 2: Convert to fraction form
    47.58/65.68 = 30.12/x
  3. Step 3: Cross multiply
    47.58x = 65.68 × 30.12
  4. Step 4: Simplify right side
    47.58x = 1,978.28
  5. Step 5: Solve for x
    x = 1,978.28/47.58
  6. Step 6: Final answer
    x = 41.58

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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.