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Finding the Fourth Proportional to 170.02, 234.54 and 114.76

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Solution

The fourth proportional to 170.02, 234.54 and 114.76 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 234.54 = 114.76 : x
  2. Step 2: Convert to fraction form
    170.02/234.54 = 114.76/x
  3. Step 3: Cross multiply
    170.02x = 234.54 × 114.76
  4. Step 4: Simplify right side
    170.02x = 26,915.81
  5. Step 5: Solve for x
    x = 26,915.81/170.02
  6. Step 6: Final answer
    x = 158.31

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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.