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Finding the Fourth Proportional to 98.10, 147.08 and 49.34

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Solution

The fourth proportional to 98.10, 147.08 and 49.34 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 147.08 = 49.34 : x
  2. Step 2: Convert to fraction form
    98.10/147.08 = 49.34/x
  3. Step 3: Cross multiply
    98.10x = 147.08 × 49.34
  4. Step 4: Simplify right side
    98.10x = 7,256.93
  5. Step 5: Solve for x
    x = 7,256.93/98.10
  6. Step 6: Final answer
    x = 73.98

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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.