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Finding the Fourth Proportional to 116.19, 160.34 and 64.44

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Solution

The fourth proportional to 116.19, 160.34 and 64.44 is: 88.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.34 = 64.44 : x
  2. Step 2: Convert to fraction form
    116.19/160.34 = 64.44/x
  3. Step 3: Cross multiply
    116.19x = 160.34 × 64.44
  4. Step 4: Simplify right side
    116.19x = 10,332.31
  5. Step 5: Solve for x
    x = 10,332.31/116.19
  6. Step 6: Final answer
    x = 88.93

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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.