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Finding the Fourth Proportional to 147.83, 204.06 and 101.45

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Solution

The fourth proportional to 147.83, 204.06 and 101.45 is: 140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.83 : 204.06 = 101.45 : x
  2. Step 2: Convert to fraction form
    147.83/204.06 = 101.45/x
  3. Step 3: Cross multiply
    147.83x = 204.06 × 101.45
  4. Step 4: Simplify right side
    147.83x = 20,700.87
  5. Step 5: Solve for x
    x = 20,700.87/147.83
  6. Step 6: Final answer
    x = 140.04

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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.