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Finding the Fourth Proportional to 117.47, 176.01 and 74.63

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Solution

The fourth proportional to 117.47, 176.01 and 74.63 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 176.01 = 74.63 : x
  2. Step 2: Convert to fraction form
    117.47/176.01 = 74.63/x
  3. Step 3: Cross multiply
    117.47x = 176.01 × 74.63
  4. Step 4: Simplify right side
    117.47x = 13,134.75
  5. Step 5: Solve for x
    x = 13,134.75/117.47
  6. Step 6: Final answer
    x = 111.82

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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.