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Finding the Fourth Proportional to 160.04, 239.07 and 114.02

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Solution

The fourth proportional to 160.04, 239.07 and 114.02 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 239.07 = 114.02 : x
  2. Step 2: Convert to fraction form
    160.04/239.07 = 114.02/x
  3. Step 3: Cross multiply
    160.04x = 239.07 × 114.02
  4. Step 4: Simplify right side
    160.04x = 27,258.76
  5. Step 5: Solve for x
    x = 27,258.76/160.04
  6. Step 6: Final answer
    x = 170.32

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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.