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Finding the Fourth Proportional to 105.30, 145.30 and 65.96

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Solution

The fourth proportional to 105.30, 145.30 and 65.96 is: 91.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 145.30 = 65.96 : x
  2. Step 2: Convert to fraction form
    105.30/145.30 = 65.96/x
  3. Step 3: Cross multiply
    105.30x = 145.30 × 65.96
  4. Step 4: Simplify right side
    105.30x = 9,583.99
  5. Step 5: Solve for x
    x = 9,583.99/105.30
  6. Step 6: Final answer
    x = 91.02

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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.