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Finding the Fourth Proportional to 76.23, 113.93 and 56.99

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Solution

The fourth proportional to 76.23, 113.93 and 56.99 is: 85.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 113.93 = 56.99 : x
  2. Step 2: Convert to fraction form
    76.23/113.93 = 56.99/x
  3. Step 3: Cross multiply
    76.23x = 113.93 × 56.99
  4. Step 4: Simplify right side
    76.23x = 6,492.02
  5. Step 5: Solve for x
    x = 6,492.02/76.23
  6. Step 6: Final answer
    x = 85.16

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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.