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Finding the Fourth Proportional to 114.65, 160.51 and 114.65

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Solution

The fourth proportional to 114.65, 160.51 and 114.65 is: 160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 160.51 = 114.65 : x
  2. Step 2: Convert to fraction form
    114.65/160.51 = 114.65/x
  3. Step 3: Cross multiply
    114.65x = 160.51 × 114.65
  4. Step 4: Simplify right side
    114.65x = 18,402.47
  5. Step 5: Solve for x
    x = 18,402.47/114.65
  6. Step 6: Final answer
    x = 160.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.