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Finding the Fourth Proportional to 74.68, 111.52 and 65.58

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Solution

The fourth proportional to 74.68, 111.52 and 65.58 is: 97.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 111.52 = 65.58 : x
  2. Step 2: Convert to fraction form
    74.68/111.52 = 65.58/x
  3. Step 3: Cross multiply
    74.68x = 111.52 × 65.58
  4. Step 4: Simplify right side
    74.68x = 7,313.48
  5. Step 5: Solve for x
    x = 7,313.48/74.68
  6. Step 6: Final answer
    x = 97.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.