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Finding the Fourth Proportional to 58.60, 88.02 and 51.96

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Solution

The fourth proportional to 58.60, 88.02 and 51.96 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 88.02 = 51.96 : x
  2. Step 2: Convert to fraction form
    58.60/88.02 = 51.96/x
  3. Step 3: Cross multiply
    58.60x = 88.02 × 51.96
  4. Step 4: Simplify right side
    58.60x = 4,573.52
  5. Step 5: Solve for x
    x = 4,573.52/58.60
  6. Step 6: Final answer
    x = 78.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.