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Finding the Fourth Proportional to 61.16, 91.89 and 53.06

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Solution

The fourth proportional to 61.16, 91.89 and 53.06 is: 79.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.16 : 91.89 = 53.06 : x
  2. Step 2: Convert to fraction form
    61.16/91.89 = 53.06/x
  3. Step 3: Cross multiply
    61.16x = 91.89 × 53.06
  4. Step 4: Simplify right side
    61.16x = 4,875.22
  5. Step 5: Solve for x
    x = 4,875.22/61.16
  6. Step 6: Final answer
    x = 79.72

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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.