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Finding the Fourth Proportional to 147.53, 221.33 and 56.25

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Solution

The fourth proportional to 147.53, 221.33 and 56.25 is: 84.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.53 : 221.33 = 56.25 : x
  2. Step 2: Convert to fraction form
    147.53/221.33 = 56.25/x
  3. Step 3: Cross multiply
    147.53x = 221.33 × 56.25
  4. Step 4: Simplify right side
    147.53x = 12,449.53
  5. Step 5: Solve for x
    x = 12,449.53/147.53
  6. Step 6: Final answer
    x = 84.39

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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.