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Finding the Fourth Proportional to 71.99, 99.53 and 61.05

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Solution

The fourth proportional to 71.99, 99.53 and 61.05 is: 84.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.99 : 99.53 = 61.05 : x
  2. Step 2: Convert to fraction form
    71.99/99.53 = 61.05/x
  3. Step 3: Cross multiply
    71.99x = 99.53 × 61.05
  4. Step 4: Simplify right side
    71.99x = 6,076.00
  5. Step 5: Solve for x
    x = 6,076.00/71.99
  6. Step 6: Final answer
    x = 84.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.