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Finding the Fourth Proportional to 116.64, 160.86 and 102.78

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Solution

The fourth proportional to 116.64, 160.86 and 102.78 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 160.86 = 102.78 : x
  2. Step 2: Convert to fraction form
    116.64/160.86 = 102.78/x
  3. Step 3: Cross multiply
    116.64x = 160.86 × 102.78
  4. Step 4: Simplify right side
    116.64x = 16,533.19
  5. Step 5: Solve for x
    x = 16,533.19/116.64
  6. Step 6: Final answer
    x = 141.75

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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.