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Finding the Fourth Proportional to 104.29, 143.86 and 64.93

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Solution

The fourth proportional to 104.29, 143.86 and 64.93 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.29 : 143.86 = 64.93 : x
  2. Step 2: Convert to fraction form
    104.29/143.86 = 64.93/x
  3. Step 3: Cross multiply
    104.29x = 143.86 × 64.93
  4. Step 4: Simplify right side
    104.29x = 9,340.83
  5. Step 5: Solve for x
    x = 9,340.83/104.29
  6. Step 6: Final answer
    x = 89.57

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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.