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Finding the Fourth Proportional to 97.64, 145.80 and 85.48

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Solution

The fourth proportional to 97.64, 145.80 and 85.48 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 145.80 = 85.48 : x
  2. Step 2: Convert to fraction form
    97.64/145.80 = 85.48/x
  3. Step 3: Cross multiply
    97.64x = 145.80 × 85.48
  4. Step 4: Simplify right side
    97.64x = 12,462.98
  5. Step 5: Solve for x
    x = 12,462.98/97.64
  6. Step 6: Final answer
    x = 127.64

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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.