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Finding the Fourth Proportional to 116.35, 160.58 and 112.77

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Solution

The fourth proportional to 116.35, 160.58 and 112.77 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.35 : 160.58 = 112.77 : x
  2. Step 2: Convert to fraction form
    116.35/160.58 = 112.77/x
  3. Step 3: Cross multiply
    116.35x = 160.58 × 112.77
  4. Step 4: Simplify right side
    116.35x = 18,108.61
  5. Step 5: Solve for x
    x = 18,108.61/116.35
  6. Step 6: Final answer
    x = 155.64

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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.