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Finding the Fourth Proportional to 118.08, 162.95 and 65.63

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Solution

The fourth proportional to 118.08, 162.95 and 65.63 is: 90.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 162.95 = 65.63 : x
  2. Step 2: Convert to fraction form
    118.08/162.95 = 65.63/x
  3. Step 3: Cross multiply
    118.08x = 162.95 × 65.63
  4. Step 4: Simplify right side
    118.08x = 10,693.94
  5. Step 5: Solve for x
    x = 10,693.94/118.08
  6. Step 6: Final answer
    x = 90.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.