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Finding the Fourth Proportional to 65.09, 97.43 and 46.53

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Solution

The fourth proportional to 65.09, 97.43 and 46.53 is: 69.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.09 : 97.43 = 46.53 : x
  2. Step 2: Convert to fraction form
    65.09/97.43 = 46.53/x
  3. Step 3: Cross multiply
    65.09x = 97.43 × 46.53
  4. Step 4: Simplify right side
    65.09x = 4,533.45
  5. Step 5: Solve for x
    x = 4,533.45/65.09
  6. Step 6: Final answer
    x = 69.65

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