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Finding the Fourth Proportional to 97.45, 145.93 and 56.74

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Solution

The fourth proportional to 97.45, 145.93 and 56.74 is: 84.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 145.93 = 56.74 : x
  2. Step 2: Convert to fraction form
    97.45/145.93 = 56.74/x
  3. Step 3: Cross multiply
    97.45x = 145.93 × 56.74
  4. Step 4: Simplify right side
    97.45x = 8,280.07
  5. Step 5: Solve for x
    x = 8,280.07/97.45
  6. Step 6: Final answer
    x = 84.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.