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Finding the Fourth Proportional to 147.02, 220.56 and 49.53

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Solution

The fourth proportional to 147.02, 220.56 and 49.53 is: 74.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 220.56 = 49.53 : x
  2. Step 2: Convert to fraction form
    147.02/220.56 = 49.53/x
  3. Step 3: Cross multiply
    147.02x = 220.56 × 49.53
  4. Step 4: Simplify right side
    147.02x = 10,924.34
  5. Step 5: Solve for x
    x = 10,924.34/147.02
  6. Step 6: Final answer
    x = 74.31

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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.