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Finding the Fourth Proportional to 116.63, 175.63 and 101.59

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Solution

The fourth proportional to 116.63, 175.63 and 101.59 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 175.63 = 101.59 : x
  2. Step 2: Convert to fraction form
    116.63/175.63 = 101.59/x
  3. Step 3: Cross multiply
    116.63x = 175.63 × 101.59
  4. Step 4: Simplify right side
    116.63x = 17,843.02
  5. Step 5: Solve for x
    x = 17,843.02/116.63
  6. Step 6: Final answer
    x = 152.99

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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.