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Finding the Fourth Proportional to 98.52, 147.73 and 30.02

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Solution

The fourth proportional to 98.52, 147.73 and 30.02 is: 45.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 147.73 = 30.02 : x
  2. Step 2: Convert to fraction form
    98.52/147.73 = 30.02/x
  3. Step 3: Cross multiply
    98.52x = 147.73 × 30.02
  4. Step 4: Simplify right side
    98.52x = 4,434.85
  5. Step 5: Solve for x
    x = 4,434.85/98.52
  6. Step 6: Final answer
    x = 45.01

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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.