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Finding the Fourth Proportional to 116.39, 175.27 and 101.35

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Solution

The fourth proportional to 116.39, 175.27 and 101.35 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 175.27 = 101.35 : x
  2. Step 2: Convert to fraction form
    116.39/175.27 = 101.35/x
  3. Step 3: Cross multiply
    116.39x = 175.27 × 101.35
  4. Step 4: Simplify right side
    116.39x = 17,762.67
  5. Step 5: Solve for x
    x = 17,762.67/116.39
  6. Step 6: Final answer
    x = 152.62

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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.