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Finding the Fourth Proportional to 147.84, 221.76 and 45.16

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Solution

The fourth proportional to 147.84, 221.76 and 45.16 is: 67.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 221.76 = 45.16 : x
  2. Step 2: Convert to fraction form
    147.84/221.76 = 45.16/x
  3. Step 3: Cross multiply
    147.84x = 221.76 × 45.16
  4. Step 4: Simplify right side
    147.84x = 10,014.68
  5. Step 5: Solve for x
    x = 10,014.68/147.84
  6. Step 6: Final answer
    x = 67.74

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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.