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Finding the Fourth Proportional to 97.77, 134.93 and 54.11

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Solution

The fourth proportional to 97.77, 134.93 and 54.11 is: 74.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.77 : 134.93 = 54.11 : x
  2. Step 2: Convert to fraction form
    97.77/134.93 = 54.11/x
  3. Step 3: Cross multiply
    97.77x = 134.93 × 54.11
  4. Step 4: Simplify right side
    97.77x = 7,300.12
  5. Step 5: Solve for x
    x = 7,300.12/97.77
  6. Step 6: Final answer
    x = 74.67

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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.