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Finding the Fourth Proportional to 105.30, 145.34 and 61.06

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Solution

The fourth proportional to 105.30, 145.34 and 61.06 is: 84.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 145.34 = 61.06 : x
  2. Step 2: Convert to fraction form
    105.30/145.34 = 61.06/x
  3. Step 3: Cross multiply
    105.30x = 145.34 × 61.06
  4. Step 4: Simplify right side
    105.30x = 8,874.46
  5. Step 5: Solve for x
    x = 8,874.46/105.30
  6. Step 6: Final answer
    x = 84.28

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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.