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Finding the Fourth Proportional to 88.80, 122.55 and 56.13

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Solution

The fourth proportional to 88.80, 122.55 and 56.13 is: 77.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 122.55 = 56.13 : x
  2. Step 2: Convert to fraction form
    88.80/122.55 = 56.13/x
  3. Step 3: Cross multiply
    88.80x = 122.55 × 56.13
  4. Step 4: Simplify right side
    88.80x = 6,878.06
  5. Step 5: Solve for x
    x = 6,878.06/88.80
  6. Step 6: Final answer
    x = 77.46

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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.