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Finding the Fourth Proportional to 59.10, 88.53 and 42.84

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Solution

The fourth proportional to 59.10, 88.53 and 42.84 is: 64.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 88.53 = 42.84 : x
  2. Step 2: Convert to fraction form
    59.10/88.53 = 42.84/x
  3. Step 3: Cross multiply
    59.10x = 88.53 × 42.84
  4. Step 4: Simplify right side
    59.10x = 3,792.63
  5. Step 5: Solve for x
    x = 3,792.63/59.10
  6. Step 6: Final answer
    x = 64.17

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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.