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Finding the Fourth Proportional to 117, 175.36 and 65.62

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Solution

The fourth proportional to 117, 175.36 and 65.62 is: 98.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 175.36 = 65.62 : x
  2. Step 2: Convert to fraction form
    117/175.36 = 65.62/x
  3. Step 3: Cross multiply
    117x = 175.36 × 65.62
  4. Step 4: Simplify right side
    117x = 11,507.12
  5. Step 5: Solve for x
    x = 11,507.12/117
  6. Step 6: Final answer
    x = 98.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.