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Finding the Fourth Proportional to 59.16, 89.16 and 57.36

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Solution

The fourth proportional to 59.16, 89.16 and 57.36 is: 86.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 89.16 = 57.36 : x
  2. Step 2: Convert to fraction form
    59.16/89.16 = 57.36/x
  3. Step 3: Cross multiply
    59.16x = 89.16 × 57.36
  4. Step 4: Simplify right side
    59.16x = 5,114.22
  5. Step 5: Solve for x
    x = 5,114.22/59.16
  6. Step 6: Final answer
    x = 86.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.