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Finding the Fourth Proportional to 147.64, 221.30 and 51.38

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Solution

The fourth proportional to 147.64, 221.30 and 51.38 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 221.30 = 51.38 : x
  2. Step 2: Convert to fraction form
    147.64/221.30 = 51.38/x
  3. Step 3: Cross multiply
    147.64x = 221.30 × 51.38
  4. Step 4: Simplify right side
    147.64x = 11,370.39
  5. Step 5: Solve for x
    x = 11,370.39/147.64
  6. Step 6: Final answer
    x = 77.01

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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.