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Finding the Fourth Proportional to 116.50, 175.67 and 101.47

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Solution

The fourth proportional to 116.50, 175.67 and 101.47 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.50 : 175.67 = 101.47 : x
  2. Step 2: Convert to fraction form
    116.50/175.67 = 101.47/x
  3. Step 3: Cross multiply
    116.50x = 175.67 × 101.47
  4. Step 4: Simplify right side
    116.50x = 17,825.23
  5. Step 5: Solve for x
    x = 17,825.23/116.50
  6. Step 6: Final answer
    x = 153.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.