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Finding the Fourth Proportional to 66.15, 98.87 and 51.53

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Solution

The fourth proportional to 66.15, 98.87 and 51.53 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.15 : 98.87 = 51.53 : x
  2. Step 2: Convert to fraction form
    66.15/98.87 = 51.53/x
  3. Step 3: Cross multiply
    66.15x = 98.87 × 51.53
  4. Step 4: Simplify right side
    66.15x = 5,094.02
  5. Step 5: Solve for x
    x = 5,094.02/66.15
  6. Step 6: Final answer
    x = 77.01

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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.