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Finding the Fourth Proportional to 105.72, 145.88 and 64.29

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Solution

The fourth proportional to 105.72, 145.88 and 64.29 is: 88.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.72 : 145.88 = 64.29 : x
  2. Step 2: Convert to fraction form
    105.72/145.88 = 64.29/x
  3. Step 3: Cross multiply
    105.72x = 145.88 × 64.29
  4. Step 4: Simplify right side
    105.72x = 9,378.79
  5. Step 5: Solve for x
    x = 9,378.79/105.72
  6. Step 6: Final answer
    x = 88.71

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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.