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Finding the Fourth Proportional to 66.84, 92.16 and 52.98

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Solution

The fourth proportional to 66.84, 92.16 and 52.98 is: 73.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.84 : 92.16 = 52.98 : x
  2. Step 2: Convert to fraction form
    66.84/92.16 = 52.98/x
  3. Step 3: Cross multiply
    66.84x = 92.16 × 52.98
  4. Step 4: Simplify right side
    66.84x = 4,882.64
  5. Step 5: Solve for x
    x = 4,882.64/66.84
  6. Step 6: Final answer
    x = 73.05

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