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Finding the Fourth Proportional to 47, 64.86 and 30.60

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Solution

The fourth proportional to 47, 64.86 and 30.60 is: 42.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 64.86 = 30.60 : x
  2. Step 2: Convert to fraction form
    47/64.86 = 30.60/x
  3. Step 3: Cross multiply
    47x = 64.86 × 30.60
  4. Step 4: Simplify right side
    47x = 1,984.72
  5. Step 5: Solve for x
    x = 1,984.72/47
  6. Step 6: Final answer
    x = 42.23

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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.