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Finding the Fourth Proportional to 60.95, 90.86 and 57.50

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Solution

The fourth proportional to 60.95, 90.86 and 57.50 is: 85.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.95 : 90.86 = 57.50 : x
  2. Step 2: Convert to fraction form
    60.95/90.86 = 57.50/x
  3. Step 3: Cross multiply
    60.95x = 90.86 × 57.50
  4. Step 4: Simplify right side
    60.95x = 5,223.71
  5. Step 5: Solve for x
    x = 5,223.71/60.95
  6. Step 6: Final answer
    x = 85.71

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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.