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Finding the Fourth Proportional to 97.10, 145.42 and 53.71

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Solution

The fourth proportional to 97.10, 145.42 and 53.71 is: 80.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.10 : 145.42 = 53.71 : x
  2. Step 2: Convert to fraction form
    97.10/145.42 = 53.71/x
  3. Step 3: Cross multiply
    97.10x = 145.42 × 53.71
  4. Step 4: Simplify right side
    97.10x = 7,810.51
  5. Step 5: Solve for x
    x = 7,810.51/97.10
  6. Step 6: Final answer
    x = 80.44

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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.