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Finding the Fourth Proportional to 147.90, 204.06 and 106.56

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Solution

The fourth proportional to 147.90, 204.06 and 106.56 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.90 : 204.06 = 106.56 : x
  2. Step 2: Convert to fraction form
    147.90/204.06 = 106.56/x
  3. Step 3: Cross multiply
    147.90x = 204.06 × 106.56
  4. Step 4: Simplify right side
    147.90x = 21,744.63
  5. Step 5: Solve for x
    x = 21,744.63/147.90
  6. Step 6: Final answer
    x = 147.02

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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.