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Finding the Fourth Proportional to 117.37, 162.02 and 73.76

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Solution

The fourth proportional to 117.37, 162.02 and 73.76 is: 101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.37 : 162.02 = 73.76 : x
  2. Step 2: Convert to fraction form
    117.37/162.02 = 73.76/x
  3. Step 3: Cross multiply
    117.37x = 162.02 × 73.76
  4. Step 4: Simplify right side
    117.37x = 11,950.23
  5. Step 5: Solve for x
    x = 11,950.23/117.37
  6. Step 6: Final answer
    x = 101.82

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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.