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Finding the Fourth Proportional to 105.26, 145.31 and 65.93

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Solution

The fourth proportional to 105.26, 145.31 and 65.93 is: 91.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 145.31 = 65.93 : x
  2. Step 2: Convert to fraction form
    105.26/145.31 = 65.93/x
  3. Step 3: Cross multiply
    105.26x = 145.31 × 65.93
  4. Step 4: Simplify right side
    105.26x = 9,580.29
  5. Step 5: Solve for x
    x = 9,580.29/105.26
  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.