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Finding the Fourth Proportional to 105.31, 145.26 and 65.93

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Solution

The fourth proportional to 105.31, 145.26 and 65.93 is: 90.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.31 : 145.26 = 65.93 : x
  2. Step 2: Convert to fraction form
    105.31/145.26 = 65.93/x
  3. Step 3: Cross multiply
    105.31x = 145.26 × 65.93
  4. Step 4: Simplify right side
    105.31x = 9,576.27
  5. Step 5: Solve for x
    x = 9,576.27/105.31
  6. Step 6: Final answer
    x = 90.93

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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.