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Finding the Fourth Proportional to 64.53, 96.64 and 49.98

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Solution

The fourth proportional to 64.53, 96.64 and 49.98 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.53 : 96.64 = 49.98 : x
  2. Step 2: Convert to fraction form
    64.53/96.64 = 49.98/x
  3. Step 3: Cross multiply
    64.53x = 96.64 × 49.98
  4. Step 4: Simplify right side
    64.53x = 4,830.07
  5. Step 5: Solve for x
    x = 4,830.07/64.53
  6. Step 6: Final answer
    x = 74.85

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Why These Related Problems?

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