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Finding the Fourth Proportional to 105.31, 145.23 and 70.28

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Solution

The fourth proportional to 105.31, 145.23 and 70.28 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.31 : 145.23 = 70.28 : x
  2. Step 2: Convert to fraction form
    105.31/145.23 = 70.28/x
  3. Step 3: Cross multiply
    105.31x = 145.23 × 70.28
  4. Step 4: Simplify right side
    105.31x = 10,206.76
  5. Step 5: Solve for x
    x = 10,206.76/105.31
  6. Step 6: Final answer
    x = 96.92

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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.