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Finding the Fourth Proportional to 52.95, 79.02 and 45.66

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Solution

The fourth proportional to 52.95, 79.02 and 45.66 is: 68.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.95 : 79.02 = 45.66 : x
  2. Step 2: Convert to fraction form
    52.95/79.02 = 45.66/x
  3. Step 3: Cross multiply
    52.95x = 79.02 × 45.66
  4. Step 4: Simplify right side
    52.95x = 3,608.05
  5. Step 5: Solve for x
    x = 3,608.05/52.95
  6. Step 6: Final answer
    x = 68.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.