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Finding the Fourth Proportional to 58.55, 87.71 and 56.63

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Solution

The fourth proportional to 58.55, 87.71 and 56.63 is: 84.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.55 : 87.71 = 56.63 : x
  2. Step 2: Convert to fraction form
    58.55/87.71 = 56.63/x
  3. Step 3: Cross multiply
    58.55x = 87.71 × 56.63
  4. Step 4: Simplify right side
    58.55x = 4,966.95
  5. Step 5: Solve for x
    x = 4,966.95/58.55
  6. Step 6: Final answer
    x = 84.84

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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.