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Finding the Fourth Proportional to 114, 170.16 and 106.32

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Solution

The fourth proportional to 114, 170.16 and 106.32 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 170.16 = 106.32 : x
  2. Step 2: Convert to fraction form
    114/170.16 = 106.32/x
  3. Step 3: Cross multiply
    114x = 170.16 × 106.32
  4. Step 4: Simplify right side
    114x = 18,091.41
  5. Step 5: Solve for x
    x = 18,091.41/114
  6. Step 6: Final answer
    x = 158.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.