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Finding the Fourth Proportional to 97.41, 145.38 and 93.54

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Solution

The fourth proportional to 97.41, 145.38 and 93.54 is: 139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 145.38 = 93.54 : x
  2. Step 2: Convert to fraction form
    97.41/145.38 = 93.54/x
  3. Step 3: Cross multiply
    97.41x = 145.38 × 93.54
  4. Step 4: Simplify right side
    97.41x = 13,598.85
  5. Step 5: Solve for x
    x = 13,598.85/97.41
  6. Step 6: Final answer
    x = 139.60

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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.