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Finding the Fourth Proportional to 116.34, 160.58 and 85.35

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Solution

The fourth proportional to 116.34, 160.58 and 85.35 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 160.58 = 85.35 : x
  2. Step 2: Convert to fraction form
    116.34/160.58 = 85.35/x
  3. Step 3: Cross multiply
    116.34x = 160.58 × 85.35
  4. Step 4: Simplify right side
    116.34x = 13,706.32
  5. Step 5: Solve for x
    x = 13,706.32/116.34
  6. Step 6: Final answer
    x = 117.82

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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.