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Finding the Fourth Proportional to 116.75, 160.93 and 93.40

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Solution

The fourth proportional to 116.75, 160.93 and 93.40 is: 128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.75 : 160.93 = 93.40 : x
  2. Step 2: Convert to fraction form
    116.75/160.93 = 93.40/x
  3. Step 3: Cross multiply
    116.75x = 160.93 × 93.40
  4. Step 4: Simplify right side
    116.75x = 15,030.86
  5. Step 5: Solve for x
    x = 15,030.86/116.75
  6. Step 6: Final answer
    x = 128.74

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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.