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Finding the Fourth Proportional to 105.24, 145.26 and 61.58

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Solution

The fourth proportional to 105.24, 145.26 and 61.58 is: 85.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 145.26 = 61.58 : x
  2. Step 2: Convert to fraction form
    105.24/145.26 = 61.58/x
  3. Step 3: Cross multiply
    105.24x = 145.26 × 61.58
  4. Step 4: Simplify right side
    105.24x = 8,945.11
  5. Step 5: Solve for x
    x = 8,945.11/105.24
  6. Step 6: Final answer
    x = 85.00

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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.