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Finding the Fourth Proportional to 64.94, 96.83 and 61.07

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Solution

The fourth proportional to 64.94, 96.83 and 61.07 is: 91.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 96.83 = 61.07 : x
  2. Step 2: Convert to fraction form
    64.94/96.83 = 61.07/x
  3. Step 3: Cross multiply
    64.94x = 96.83 × 61.07
  4. Step 4: Simplify right side
    64.94x = 5,913.34
  5. Step 5: Solve for x
    x = 5,913.34/64.94
  6. Step 6: Final answer
    x = 91.06

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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.