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Finding the Fourth Proportional to 47.58, 65.64 and 34.46

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Solution

The fourth proportional to 47.58, 65.64 and 34.46 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.58 : 65.64 = 34.46 : x
  2. Step 2: Convert to fraction form
    47.58/65.64 = 34.46/x
  3. Step 3: Cross multiply
    47.58x = 65.64 × 34.46
  4. Step 4: Simplify right side
    47.58x = 2,261.95
  5. Step 5: Solve for x
    x = 2,261.95/47.58
  6. Step 6: Final answer
    x = 47.54

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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.