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Finding the Fourth Proportional to 58.15, 86.71 and 53.02

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Solution

The fourth proportional to 58.15, 86.71 and 53.02 is: 79.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.15 : 86.71 = 53.02 : x
  2. Step 2: Convert to fraction form
    58.15/86.71 = 53.02/x
  3. Step 3: Cross multiply
    58.15x = 86.71 × 53.02
  4. Step 4: Simplify right side
    58.15x = 4,597.36
  5. Step 5: Solve for x
    x = 4,597.36/58.15
  6. Step 6: Final answer
    x = 79.06

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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.