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Finding the Fourth Proportional to 58.95, 88.00 and 54.50

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Solution

The fourth proportional to 58.95, 88.00 and 54.50 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.95 : 88.00 = 54.50 : x
  2. Step 2: Convert to fraction form
    58.95/88.00 = 54.50/x
  3. Step 3: Cross multiply
    58.95x = 88.00 × 54.50
  4. Step 4: Simplify right side
    58.95x = 4,795.42
  5. Step 5: Solve for x
    x = 4,795.42/58.95
  6. Step 6: Final answer
    x = 81.35

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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.