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Finding the Fourth Proportional to 97.07, 145.61 and 24.93

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Solution

The fourth proportional to 97.07, 145.61 and 24.93 is: 37.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.07 : 145.61 = 24.93 : x
  2. Step 2: Convert to fraction form
    97.07/145.61 = 24.93/x
  3. Step 3: Cross multiply
    97.07x = 145.61 × 24.93
  4. Step 4: Simplify right side
    97.07x = 3,629.93
  5. Step 5: Solve for x
    x = 3,629.93/97.07
  6. Step 6: Final answer
    x = 37.40

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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.