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Finding the Fourth Proportional to 147.98, 204.32 and 101.35

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Solution

The fourth proportional to 147.98, 204.32 and 101.35 is: 139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 204.32 = 101.35 : x
  2. Step 2: Convert to fraction form
    147.98/204.32 = 101.35/x
  3. Step 3: Cross multiply
    147.98x = 204.32 × 101.35
  4. Step 4: Simplify right side
    147.98x = 20,707.83
  5. Step 5: Solve for x
    x = 20,707.83/147.98
  6. Step 6: Final answer
    x = 139.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.