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Finding the Fourth Proportional to 59.16, 88.10 and 56.05

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Solution

The fourth proportional to 59.16, 88.10 and 56.05 is: 83.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.16 : 88.10 = 56.05 : x
  2. Step 2: Convert to fraction form
    59.16/88.10 = 56.05/x
  3. Step 3: Cross multiply
    59.16x = 88.10 × 56.05
  4. Step 4: Simplify right side
    59.16x = 4,938.01
  5. Step 5: Solve for x
    x = 4,938.01/59.16
  6. Step 6: Final answer
    x = 83.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.