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Finding the Fourth Proportional to 47.03, 70.54 and 22.66

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Solution

The fourth proportional to 47.03, 70.54 and 22.66 is: 34.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.03 : 70.54 = 22.66 : x
  2. Step 2: Convert to fraction form
    47.03/70.54 = 22.66/x
  3. Step 3: Cross multiply
    47.03x = 70.54 × 22.66
  4. Step 4: Simplify right side
    47.03x = 1,598.73
  5. Step 5: Solve for x
    x = 1,598.73/47.03
  6. Step 6: Final answer
    x = 34.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.