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Finding the Fourth Proportional to 59.10, 89.14 and 59.10

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Solution

The fourth proportional to 59.10, 89.14 and 59.10 is: 89.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 89.14 = 59.10 : x
  2. Step 2: Convert to fraction form
    59.10/89.14 = 59.10/x
  3. Step 3: Cross multiply
    59.10x = 89.14 × 59.10
  4. Step 4: Simplify right side
    59.10x = 5,268.17
  5. Step 5: Solve for x
    x = 5,268.17/59.10
  6. Step 6: Final answer
    x = 89.14

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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.