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Finding the Fourth Proportional to 97.06, 145.59 and 51.40

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Solution

The fourth proportional to 97.06, 145.59 and 51.40 is: 77.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.06 : 145.59 = 51.40 : x
  2. Step 2: Convert to fraction form
    97.06/145.59 = 51.40/x
  3. Step 3: Cross multiply
    97.06x = 145.59 × 51.40
  4. Step 4: Simplify right side
    97.06x = 7,483.33
  5. Step 5: Solve for x
    x = 7,483.33/97.06
  6. Step 6: Final answer
    x = 77.10

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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.