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Finding the Fourth Proportional to 65.61, 97.88 and 53.46

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Solution

The fourth proportional to 65.61, 97.88 and 53.46 is: 79.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.61 : 97.88 = 53.46 : x
  2. Step 2: Convert to fraction form
    65.61/97.88 = 53.46/x
  3. Step 3: Cross multiply
    65.61x = 97.88 × 53.46
  4. Step 4: Simplify right side
    65.61x = 5,232.40
  5. Step 5: Solve for x
    x = 5,232.40/65.61
  6. Step 6: Final answer
    x = 79.75

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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.