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Finding the Fourth Proportional to 47.02, 64.88 and 30.64

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Solution

The fourth proportional to 47.02, 64.88 and 30.64 is: 42.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.88 = 30.64 : x
  2. Step 2: Convert to fraction form
    47.02/64.88 = 30.64/x
  3. Step 3: Cross multiply
    47.02x = 64.88 × 30.64
  4. Step 4: Simplify right side
    47.02x = 1,987.92
  5. Step 5: Solve for x
    x = 1,987.92/47.02
  6. Step 6: Final answer
    x = 42.28

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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.